Complex analytic geometry of complex parallelizable manifolds
Mémoires de la Société Mathématique de France, no. 72-73 (1998) , 224 p.

Voir la notice du livre provenant de la source

DOI MR   Zbl

Winkelmann, Jörg. Complex analytic geometry of complex parallelizable manifolds. Mémoires de la Société Mathématique de France, Nouvelle série, no. 72-73 (1998), 224 p. doi: 10.24033/msmf.386
@book{MSMF_1998_2_72-73__R1_0,
     author = {Winkelmann, J\"org},
     title = {Complex analytic geometry of complex parallelizable manifolds},
     series = {M\'emoires de la Soci\'et\'e Math\'ematique de France},
     year = {1998},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {72-73},
     doi = {10.24033/msmf.386},
     mrnumber = {99g:32058},
     zbl = {0918.32015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MSMF_1998_2_72-73__R1_0/}
}
TY  - BOOK
AU  - Winkelmann, Jörg
TI  - Complex analytic geometry of complex parallelizable manifolds
T3  - Mémoires de la Société Mathématique de France
PY  - 1998
IS  - 72-73
PB  - Société mathématique de France
UR  - http://geodesic.mathdoc.fr/item/MSMF_1998_2_72-73__R1_0/
DO  - 10.24033/msmf.386
LA  - en
ID  - MSMF_1998_2_72-73__R1_0
ER  - 
%0 Book
%A Winkelmann, Jörg
%T Complex analytic geometry of complex parallelizable manifolds
%S Mémoires de la Société Mathématique de France
%D 1998
%N 72-73
%I Société mathématique de France
%U http://geodesic.mathdoc.fr/item/MSMF_1998_2_72-73__R1_0/
%R 10.24033/msmf.386
%G en
%F MSMF_1998_2_72-73__R1_0

[1] Akhiezer, D.N. : Invariant meromorphic functions on complex semisimple Lie groups. Invent. Math. 65, n° 3, 325-329 (1981/1982) | Zbl | MR | EuDML

[2] Akhiezer, D.N. : Lie Groups actions in complex analysis. Aspects of Mathematics. Vieweg 1995 | Zbl | MR

[3] Akhiezer, D.N. : Group actions on the Dolbeault cohomology of homogeneous manifolds. Math. Z. (1996). | Zbl | MR

[4] Atiyah, M. : On the Krull-Schmidt theorem with applications to sheaves. Bull. Soc. Math. France 84, 307-317 (1956) | Numdam | Zbl | MR | EuDML

[5] Atiyah, M. : Complex analytic connections in fibre bundles. Trans. Amer. Math. Soc. 85, 181-207 (1957) | Zbl | MR

[6] Atiyah, M. : K-Theory. Benjamin 1967 | Zbl | MR

[7] Atiyah, M. ; Rees, F. : Vector Bundles on Projective 3-space. Invent. Math. 36, 131-153 (1976) | Zbl | MR | EuDML

[8] Baker, A. : Transcendental Number Theory. Cambridge University Press 1975 | Zbl | MR

[9] Barlet, D. : Familles analytiques de cycles paramétrées par un espace analytique réduit. LN 481, 1-158. Springer 1975 | MR

[10] Barth, W. ; Otte, M. : Über fast-uniforme Untergruppen komplexer Liegruppen und auflösbare komplexe Mannigfaltigkeiten. Comm. Math. Helv. 44, 269-281 (1969) | Zbl | MR

[11] Barth, W. ; Otte, M. : Invariante Holomorphe Funktionen auf reduktiven Liegruppen. Math. Ann. 201, 91-112 (1973) | Zbl | MR

[12] Berteloot, F. ; Oeljeklaus, K. : Invariant Plurisubharmonic Functions and Hypersurfaces on Semisimple Complex Lie Groups. Math. Ann. 281, 513-530 (1988) | Zbl | MR

[13] Bierstone, E. ; Milman, P.D. : Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant. Invent. Math. 128, 207-302 (1997) | Zbl | MR

[14] Blanchard, A. : Sur les variétés analytiques complexes. Ann. Sci. ecole norm. sup. 73, 157-202 (1956) | Zbl | MR | Numdam

[15] Bochner, S. ; Montgomery, D. : Groups on analytic manifolds. Ann. of Math. 48 (2), 659-669 (1947). | Zbl | MR

[16] Boothby, W. ; Wang, H. : On the finite Subgroups of Connected Lie Groups. Comm. Math. Helv. 39, 281-294 (1964) | Zbl | MR

[17] Borel, A. : Density properties of certain subgroups of semisimple groups without compact components. Ann. of Math. 72, 179-188 (1960) | Zbl | MR

[18] Borel, A. : Compact Clifford Klein forms of symmetric spaces. Topology 2, 111-122 (1963) | Zbl | MR

[19] Borel, A. : Introduction aux groupes arithmetiques. Hermann 1969 | Zbl | MR

[20] Borel, A. : Linear algebraic groups. Second Enlarged Edition. Springer 1991 | Zbl | MR

[21] Borel, A. ; Harish-Chandra : Arithmetic subgroups of algebraic groups. Ann. Math. 75, 485-535 (1962) | Zbl | MR

[22] Borel, A. ; Remmert, R. : Über kompakte homogene Kählersche Mannigfaltigkeiten, Math. Ann. 145, 429-439 (1962) | Zbl | MR

[23] Borel, A. ; Tits, J. : Groupes Reductifs. IHES 27, 55-152 (1965) | Zbl | MR | Numdam

[24] Bourbaki, N. : Intégration. Ch. VII. Hermann, Paris. 1960

[25] Brody, R. : Compact manifolds and hyperbolicity. T.A.M.S. 235, 213-219 (1978) | Zbl | MR

[26] Campana, F. : On Twistor Spaces of the class C.J. Diff. Geo. 33, 541-549 (1991) | Zbl | MR

[27] Campana, F. : Remarques sur le revêtement universel des variétés Kählériennes compactes. Bull. Soc. math. France. 122, 255-284 (1994) | Zbl | MR | Numdam

[28] Campana, F. : Connexité abélienne des variétés kählériennes compactes. C.R. Acad. Sci. Paris, t. 325, Série I, 755-758 (1997) | Zbl | MR

[29] Capocasa, F. ; Catanese, F. : Periodic meromorphic functions. Acta Math. 166, 27-68 (1991) | Zbl | MR

[30] Cartan, E. : La topologie des groupes de Lie. Enseign. math. 35, 177-200 (1936) | Zbl | JFM

[31] Cernousov, V.I. : On the Hasse-principle for groups of type E8. Dokl. Akad. Nauk. SSSR 306, 1059-1063 (1989) Translation: Sov. Math. Dokl. 39, 592-596 (1989) | Zbl

[32] Cordero, L. ; Fernandez, M. ; Gray, A. : La suite spectrale de Frölicher et les nilvariétés complexes compactes. C.R. Acad. Sci. Paris 305, 753-756 (1987) | Zbl | MR

[33] Cordero, L. ; Fernandez, M. ; Gray, A. : The Froehlicher spectral sequence for compact nilmanifolds. Ill. J. Math. 35, no. 1, 56-67 (1991) | Zbl | MR

[34] Corlette, K. : Archimedean superrigidity and hyperbolic geometry. Ann. of Math. 135, 165-182 (1992) | Zbl | MR

[35] Curtis, C. ; Reiner, I. : Representation Theory of Finite Groups and associative algebras. Interscience 1962. (Reprinted 1988 in the Wiley Classics Library series.) | Zbl

[36] Dixmier, J. ; Lister, W.G. : Derivations of nilpotent Lie algebras Proc. A.M.S. 8, 155-158 (1957) | Zbl | MR

[37] Dold, A. : Lectures on Algebraic Topology. Springer Berlin Heidelberg New York 1972 | Zbl | MR

[38] Dynkin, E.B. : Semisimple subalgebras of semisimple Lie algebras. Mat. Sbornik N.S. 30 (72), 349-462, Moskva (1952) | Zbl | MR

[39] Dynkin, E.B. : Maximal subgroups of classical groups. Trudy Moskov. Mat. Ob. 1, 39-66, Moskva (1952) | Zbl | MR

[40] Forster, O. ; Knorr, K. : Über die Deformationen von Vektorraumbündeln auf kompakten komplexen Räumen. Math. Ann. 209, 291-346 (1974) | Zbl | MR

[41] Frölicher : Relations between the cohomology groups of Dolbeault and topological invariants. Proc. Nat. Acad. Sci. U.S.A. 41, 641-644 (1955) | Zbl | MR

[42] Ghys, E. : Déformations des structures complexes sur les espaces homogènes de SL(2,ℂ). J. Reine Angew. Math. 468, 113-138 (1995) | Zbl | MR

[43] Goto, M. : On an arcwise connected subgroup of a Lie group. Proc. A.M.S. 20, 157-162 (1969) | Zbl | MR

[44] Grauert, H. : Holomorphe Funktionen mit Werten in komplexen Lieschen Gruppen. Math. Ann. 133, 450-472 (1957) | Zbl | MR

[45] Grauert, H. ; Remmert, R. : Über kompakte homogene komplexe Mannigfaltigkeiten. Arch. Math. 13, 498-507 (1962) | Zbl | MR

[46] Grauert, H., Remmert, R. : Coherent Analytic Sheaves. Springer 1984 | Zbl | MR

[47] Green, M. ; Griffiths, P. : Two Applications of Algebraic Geometry to Entire Holomorphic Mappings. The Chern Symposium 1979, Springer, New-York Berlin (1980) | Zbl

[48] Griffiths, P. ; Harris, J. : Principles of Algebraic Geometry. Pure and Applied Mathematics, Wiley-Interscience, New-York (1978) | Zbl | MR

[49] Gromov, M. ; Schoen, R. : Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one. Publ. IHES 76, 165-246 (1992). | Zbl | MR | Numdam

[50] Gunning, R. : Introduction to Holomorphic Functions of several variables. 3 volumes. Wadsworth 1990. | Zbl

[51] Harder, G. : Bericht über neuere Resultate der Galoiskohomologie halbeinfacher Gruppen. Jahresber. DMV, 70, 182-216 (1968). | Zbl | MR

[52] Hartshorne, R. : Varieties of small codimension in projective space. Bull. A.M.S. 80, 1017-1032 (1974). | Zbl | MR

[53] Hartshorne, R. : Algebraic Geometry. Springer 1977. | Zbl | MR

[54] Higman, G. : A finitely generated infinite simple group. J. London Math. Soc. 26, 61-64 (1951). | Zbl | MR

[55] Hironaka, H. : Resolution of singularities of an algebraic variety over a field of characteristic zero. I, II. Ann. of Math. (2), 79, 109-326 (1964). | Zbl | MR

[56] Hironaka, H. : Bimeromorphic smoothing of a complex-analytic space. Math. Inst. Warwick Univ. 1971.

[57] Hochschild, G. : The Structure of Lie groups. Holden Day Inc 1965. | Zbl | MR

[58] Huckleberry, A.T. ; Margulis, G.A. : Invariant analytic hypersurfaces. Invent. Math. 71, 235-240 (1983). | Zbl | MR

[59] Huckleberry, A.T. ; Oeljeklaus, E. : Classification theorems for almost homogeneous spaces. Revue De l'Institut Elie Cartan, Numéro 9, Janvier 1984. | Zbl | MR

[60] Huckleberry, A.T. ; Oeljeklaus, E. : On holomorphically separable complex solvmanifolds. Ann. Inst. Fourier XXXVI 3, 57-65 (1986). | Zbl | MR | Numdam

[61] Huckleberry, A.T. : Actions of Groups of Holomorphic Transformations. Encyclopaedia of Mathematical Sciences. Volume 69 Several Complex Variables VI. (1990). | Zbl | MR

[62] Huckleberry, A.T. ; Snow, D. : Pseudoconcave homogeneous manifolds. Ann. Scuola Norm. Sup. Pisa, (4), 7, 29-54 (1980). | Zbl | MR | Numdam

[63] Huckleberry, A.T. ; Winkelmann, J. : Subvarieties of parallelizable manifolds. Math. Ann. 295, 469-483 (1993). | Zbl | MR

[64] Humphries, J. : Linear algebraic groups. GTM 21 Springer 1975. | Zbl | MR

[65] Humphries, J. : Arithmetic Groups. LN 789 Springer 1980. | Zbl | MR

[66] Husemoller, Dale : Fibre bundles. 3. ed. Springer 1994. | Zbl | MR

[67] Iwamoto, T. : Density properties of complex Lie groups. Osaka J.Math. 23, 859-865 (1986). | Zbl | MR

[68] Jordan, C. : Mémoire sur les équations différent linéaires à intégrale algébriques. J. Reine Angew. Math. 84, 89-215 (1878). | JFM

[69] Jørgensen, T. : Compact 3-manifolds of constant negative curvature fibering over the circle. Ann. Math. 106, 61-72 (1977). | Zbl | MR

[70] Jost, J. ; Yau, S.T. : Harmonic maps and superrigidity. Proc. Symp. Pure Math. 54, 245-280 (1993). | Zbl | MR

[71] Kaup, B. ; Kaup, L. : Holomorphic Functions of Several Variables. De Gruyter 1983. | Zbl | MR

[72] Každan, D.A. : Connection of the dual space of a group with the structure of its closed subgroups. Funct. Anal. Appl. 1, 63-65 (1967). | Zbl | MR

[73] Každan, D.A. ; Margulis, G.A. : A proof of Selbergs hypothesis. Math. Sbornik 75, 162-168 (1968). | Zbl | MR

[74] Knapp, A. : Lie Groups Beyond an Introduction. Birkhäuser 1996. | Zbl | MR

[75] Kobayashi, S. : Hyperbolic manifolds and holomorphic mappings. Dekker Inc. 1970. | Zbl | MR

[76] Koblitz, N. ; Rohrlich, D. : Simple factors in the Jacobian of a Fermat curve. Canad. J. Math. 31, 1183-1205 (1978). | Zbl | MR

[77] Kraft, H. : Geometrische Methoden in der Invariantentheorie. Aspekte der Mathematik, Band D1. Vieweg 1984. | Zbl | MR

[78] Lang, S. : Abelian Varieties. Interscience 1959. | Zbl | MR

[79] Lang, S. : Complex Multiplication. Springer 1983. | Zbl | MR

[80] Lang, S. : Introduction to Complex Hyperbolic Spaces. Springer 1987. | Zbl | MR

[81] Lescure, F. : Action non triviale sur le premier groupe de comologie de Dolbeault. Comptes Rendus Acad. Sci. Paris 316, 823-825 (1993). | Zbl | MR

[82] Lescure, F. : Cohomologie totale et courants de Dolbeault invariants. J. Reine Angew. Math. 475, 103-136 (1996). | Zbl | MR

[83] Lindemann : Über die Zahl π. Math. Ann. 20, 213-225 (1882). | JFM

[84] Lubotzky, A. : Free Quotients and the first Betti number of some hyperbolic manifolds. Transformation Groups. 1, 71-82 (1996). | Zbl | MR

[85] Lundell, A. ; Weingram, S. : The topology of CW-complexes. Van Nostrand 1969. | Zbl

[86] Makarov, V.S. : On a certain class of discrete groups of Lobachevsky space having an infinite fundamental region of finite measure. Soviet Math. Dokl. 7, 328-331 (1966). | Zbl | MR

[87] Malcev, A. : On isomorphism matrix representations of infinite groups. Mat. Sb. 8, 405-422 (1940). | Zbl | MR | JFM

[88] Malcev, A. : Commutative subalgebras of semisimple Lie algebras. Izv. Nauk USSR 9, 291-300 (1945). | Zbl | MR

[89] Malcev, A. : On a class of homogeneous spaces. Izvestiya Akad. Nauk SSSR Ser. Math. 13 (1949)/ AMS Transl. no. 39 (1951). | Zbl | MR

[90] Margulis, G.A. : Free totally discontinuous groups of affine transformations. Soviet Math. Doklady 28, 435-439 (1983). | Zbl

[91] Margulis, G.A. : Complete affine locally flat manifolds with free fundamental group. Zapiski Nauen. Sem. Leningrad Otd. Mat. Inst. Steklov 134, 190-205 (1984) [in Russian]. | Zbl | MR

[92] Margulis, G. : Discrete subgroups of semi-simple Lie groups. Erg. Math., Springer-Verlag 1990. | Zbl

[93] Matsushima, Y. : On the discrete subgroups and homogeneous spaces of nilpotent Lie groups. Nagoya Math. J. 2, 95-110 (1951). | Zbl | MR

[94] Matsushima, Y. : Fibrés holomorphes sur un tore complexe. Nagoya Math. J. 14, 1-24 (1959). | Zbl | MR

[95] Matsushima, Y. : Espaces homogènes de Stein des groupes de Lie complexes I. Nagoya Math. J. 16, 205-218 (1960). | Zbl | MR

[96] Matsushima, Y. ; Morimoto, A. : Sur certaines espaces fibrés holomorphes sur une variété de Stein. Bull. Soc. Math. France 88, 137-155 (1960). | Zbl | MR | Numdam

[97] Millson, J.J. : On the first Betti number of a compact constant negatively curved manifold. Ann. of Math. 104, 235-247 (1976). | Zbl | MR

[98] Milnor, J. : On fundamental groups of completely affinely flat manifolds. Adv. Math. 25, 178-187 (1977). | Zbl | MR

[99] Mok, N. ; Siu, Y.T. ; Yeung, S.K. : Geometric superrigidity. Invent. math. 113, 57-83 (1993). | Zbl | MR

[100] Montgomery, D. ; Zippin, L. : Topological Transformation Groups. Interscience 1955. | Zbl | MR

[101] Morimoto, A. : Sur le groupe d'automorphismes d'un espace fibré principal analytique complexe. Nagoya Math. J. 13, 157-168 (1959). | Zbl | MR

[102] Moskowitz, M. : On the density theorems of Borel and Furstenberg. Ark. Mat. 16, 11-27 (1978). | Zbl | MR

[103] Mostow, G.D. : Factor spaces of solvable groups. Ann. of Math. 60, 1-27 (1954). | Zbl | MR

[104] Mostow, G.D. : Homogeneous spaces of finite invariant measures Ann. of Math. 75, 17-37 (1962) | Zbl | MR

[105] Mostow, G.D. : Intersection of discrete subgroups with Cartan subgroups. J. Ind. Math. Soc. 34, 203-214 (1970) | Zbl | MR

[106] Mostow, G.D. : Arithmetic subgroups of groups with radical. Ann. Math. 93, 409-438 (1971) | Zbl | MR

[107] Mostow, G.D. ; Tamagawa, T. : On the compactness of the arithmetically defined homogeneous spaces. Ann. Math. 76, 440-463 (1962) | Zbl | MR

[108] Mumford, D. : Abelian varieties. Oxford University Press 1970 | Zbl | MR

[109] Murakami, S. : Sur certains espaces fibrés principaux holomorphes admettant des connexions holomorphes. Osaka Math. J. 11, 43-62 (1959) | Zbl | MR

[110] Nakamura, I. : Complex parallisable manifolds and their small deformations. J. Diff. Geo. 10, 85-112 (1975). | Zbl | MR

[111] Neukirch : Algebraische Zahlentheorie. Springer 1992 | Zbl

[112] Oeljeklaus, K. : Hyperflächen und Geradenbündel auf homogenen komplexen Mannnigfaltigkeiten. Schriftenreihe Math. Inst. Univ. Münster (2) 36 (1985) | Zbl | MR

[113] Oeljeklaus, K. ; Winkelmann, J. : Some Remarks on Parallelizable Manifolds. Publ. IRMA, Lille 27, 1992

[114] Okonek, Ch. ; Schneider, M. ; and Spindler, H. : Vector Bundles on Complex Projective Spaces. Progress in Math. 3, Birkhäuser Boston, 1980 | Zbl | MR

[115] Onishchik, A. ; Vinberg, E. : Lie groups and Algebraic groups. Springer 1990 | Zbl | MR

[116] Otte, M. : Über homogene kompakte komplexe Mannigfaltigkeiten. Habilitationsschrift. Münster 1972

[117] Otte, M. ; Potters, J. : Beispiele homogener Mannigfaltigkeiten. Manu. math. 10, 117-127 (1973) | Zbl | MR

[118] Pansu, P. : Sous-groupes discrets des groupes de Lie : rigidité, arithmeticité. Séminaire Bourbaki. 46ème année (1993/1994), exposé 778 | Zbl | Numdam

[119] Parshin : Generalized Jacobians. Transl. A.M.S. 84 (1968)

[120] Pothering, G. : Meromorphic function fields of non-compact ℂ/Г. Ph. D. thesis. Notre Dame University, Indiana 1977

[121] Raghunathan, M.S. : On the first cohomology of discrete subgroups of semisimple Lie groups. Amer. J. Math. 87, 103-139 (1965) | Zbl | MR

[122] Raghunathan, M.S. : Vanishing Theorems for Cohomology Groups Associated To Discrete Subgroups of Semisimple Lie Groups. Osaka J. Math. 3, 243-256 (1966) | Zbl | MR

[123] Raghunathan, M.S. : Discrete subgroups of Lie groups. Erg. Math. Grenzgeb. 68, Springer (1972) | Zbl | MR

[124] Rajan, C.S. : Deformations of complex structure Г\SL2(ℂ). Proc. Indian Acad. Sci. Math. Sci. 104, n° 2, 389-395 (1994). | Zbl | MR

[125] Remmert, R. : Meromorphe Funktionen in Kompakten Komplexen Räumen. Math. Ann. 132, 277-288 (1956) | Zbl | MR

[126] Remmert, R. ; Van De Ven, T. : Zur Funktionentheorie homogener komplexer Mannigfaltigkeiten. Topology 2, 137-157 (1963) | Zbl | MR

[127] Rosay, J.P. ; Rudin, W. : Holomorphic maps from ℂn to ℂn Trans. A.M.S. 310, 47-86 (1988) | Zbl | MR

[128] Rosenlicht, M. : On quotient varieties and the affine embedding of certain homogeneous spaces. Trans. A.M.S. 101, 211-223 (1961) | Zbl | MR

[129] Sakane, Y. : On Compact Complex parallelisable Solvmanifolds. Osaka J. Math. 13, 187-219 (1976) | Zbl | MR

[130] Scharlau, W. : Quadratic and hermitian forms. Grundlehren der mathematischen Wissenschaften, 270. Springer 1985 | Zbl | MR

[131] Schur, I. : Über Gruppen periodischer Substitutionen. Sitzber. Preuss. Akad. Wiss., 619-627 (1911) | JFM

[132] Schur, I. : Zur Theorie vertauschbarer Matrizen. J. Reine Angew. Math. 30, 66-76 (1905) | JFM

[133] Serre, J.P. : Galois Cohomology. Translated from the French by Patrick Ion and revised by the author. Springer 1997 | Zbl | MR

[134] Serre, J.P. : Cohomologie galoisienne. Lecture Notes in Mathematics, Springer 1994 | Zbl | MR

[135] Shimura, G. ; Taniyama, Y. : Complex multiplications of abelian varieties and its applications to number theory. Publ. Math. Soc. Japan 6 (1961) | Zbl | MR

[136] Selberg, A. : On discontinuous groups in higher-dimensional symmetric spaces. in Contributions to function theory. Bombay 1960, p. 147-164 | Zbl | MR

[137] Serre, J.P. : Sur les modules projectifs. Sem. Dubreil-Pisot exposé 2. (1960/1961) | Zbl | Numdam

[138] Snow, D. ; Winkelmann, J. : Homogeneous Manifolds with Large Automorphism Groups. Invent. math. (1998) | Zbl | MR

[139] Spanier, E. : Algebraic Topology McGraw-Hill 1966. Corrected Reprint : Springer 1981 | Zbl

[140] Taubes, C.H. : The existence of self-dual conformal structures. J. Diff. Geom. 36, 163-253 (1992) | Zbl | MR

[141] Thurston, W. : Threedimensional manifolds, Kleinian groups and Hyperbolic Geometry. Bull. A.M.S. 6, N.S. 357-381 (1982) | Zbl | MR

[142] Thurston, W. : Three-dimensional geometry and topology. Vol. 1. Edited by Silvio Levy. Princeton Mathematical Series, 35. Princeton University Press 1997 | Zbl | MR

[143] Tits, J. : Espaces homogènes complexes compacts. Comm. Math. Helv. 37 (1962), 111-120 | Zbl | MR

[144] Tits, J. : Tabellen zu den eifachen Lie Gruppen und ihren Darstellungen. Springer LN 40. 1967 | Zbl

[145] Tits, J. : Free subgroups in linear groups. J. Algebra 20, 250-270 (1972) | Zbl | MR

[146] Ueno, K. : Classification Theory of Algebraic Varieties and Compact Complex Spaces. LN 439 Springer 1975 | Zbl | MR

[147] Varouchas, J. : Kähler spaces and proper open morphisms. Math. Ann. 283, 13-52 (1989) | Zbl | MR

[148] Vinberg, E.B. : Discrete groups generated by reflections in Lobachevsky spaces. Math. USSR Sbornik 1, 429-444 (1967)

[149] Wang, H. : Complex parallelisable manifolds. Proc. A.M.S. 5, 771-776 (1954) | Zbl

[150] Weil, A. : On discrete subgroups of Lie groups I, II. Ann. Math. 72, 369-384 (1960) and 75, 578-602 (1962) | Zbl | MR

[151] Weil, A. : Remarks on the cohomology of groups. Ann. of Math. 80, 149-157 (1964) | Zbl | MR

[152] Winkelmann, J. : Every compact complex manifold admits a holomorphic vector bundle. Revue Roum. Math. Pures et Appl. 38, 743-744 (1993) | Zbl | MR

[153] Winkelmann, J. : Complex-Analytic Geometry of Complex Parallelizable Manifolds. Habilitationsschrift. Ruhr-Universität Bochum. Schriftenreihe des Graduiertenkolleg, Heft 13 (1995)

[154] Holomorphic Functions on Algebraic Groups Invariant under a Zariski dense subgroup. 519-529 in Proc. Complex Analysis and Geometry. Lecture Notes in Pure and Applied Math., Dekker Inc. 1995 | Zbl

[155] Winkelmann, J. : Complex Parallelizable Manifolds. Proc. Geometric Complex Analysis. 667-678 ed. by J. Noguchi et. al. World Scientific Publishing. Singapur 1996 | Zbl | MR

[156] Winkelmann, J. : On Discrete Zariski Dense Subgroups of Algebraic Groups. Math. Nachr. 186, 285-302 (1997) | Zbl | MR

[157] Winkelmann, J. : Only Countably Many Simply-Connected Lie Groups Admit Lattices. Complex Analysis and Geometry. Pitman Research Notes in Mathematics Series. V. Ancona, E. Ballico, R. Miro-Roig, A. Silva eds. | Zbl

[158] Winkelmann, J. : Holomorphic self-maps of Parallelizable Manifolds. Transformation Groups. (1998) | Zbl | MR

[159] Winkelmann, J. : Homogeneous Vector bundles on Parallelizable Manifolds. (to appear)

[160] Winkelmann, J. : The Albanese Variety of a Complex Parallelizable Manifold. (to appear).

[161] Winkelmann, J. : Arithmeticity of complex nilmanifolds. (to appear)

[162] Wu, T.S. : A Note on a Theorem on lattices in Lie Groups. Canad. Math. Bull. 31 (2), (1988) | Zbl | MR

[163] Zimmer, R. : Ergodic Theory and Semisimple Groups. Birkhäuser 1984 | Zbl | MR

Cité par Sources :