Geodesic
On complete lifts of reductive homogeneous spaces and generalized symmetric spaces
Czechoslovak Mathematical Journal, Tome 36 (1986) no. 4, pp. 516-534

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

DOI MR   Zbl

DOI : 10.21136/CMJ.1986.102113
Classification : 53C30 
Sekizawa, Masami. On complete lifts of reductive homogeneous spaces and generalized symmetric spaces. Czechoslovak Mathematical Journal, Tome 36 (1986) no. 4, pp. 516-534. doi: 10.21136/CMJ.1986.102113
@article{10_21136_CMJ_1986_102113,
     author = {Sekizawa, Masami},
     title = {On complete lifts of reductive homogeneous spaces and generalized symmetric spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {516--534},
     year = {1986},
     volume = {36},
     number = {4},
     doi = {10.21136/CMJ.1986.102113},
     mrnumber = {863184},
     zbl = {0615.53042},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1986.102113/}
}
TY  - JOUR
AU  - Sekizawa, Masami
TI  - On complete lifts of reductive homogeneous spaces and generalized symmetric spaces
JO  - Czechoslovak Mathematical Journal
PY  - 1986
SP  - 516
EP  - 534
VL  - 36
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1986.102113/
DO  - 10.21136/CMJ.1986.102113
LA  - en
ID  - 10_21136_CMJ_1986_102113
ER  - 
%0 Journal Article
%A Sekizawa, Masami
%T On complete lifts of reductive homogeneous spaces and generalized symmetric spaces
%J Czechoslovak Mathematical Journal
%D 1986
%P 516-534
%V 36
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1986.102113/
%R 10.21136/CMJ.1986.102113
%G en
%F 10_21136_CMJ_1986_102113

[1] N. Bourbaki: Éléments de Mathématique, Groupes et al gébres de Lie. Chapitre III, Groupes de Lie, Herman, Paris, 1971, 1972. | MR

[2] J. Černý, O. Kowalski: Classification of generalized symmetric pseudo-Riemannian spaces of dimension $n \leq 4$. Tensor, N.S. 38 (1982), 255-267. | MR

[3] S. Kobayashi: Theory of connections. Annali di Mat. 43 (1957), 119-194. | DOI | MR

[4] S. Kobayashi, K. Nomizu: Foundations of differential geometry. Interscience Publ., New York, London, I (1963); II (1969). | Zbl

[5] O. Kowalski: Generalized symmetric spaces. Lecture Note in Mathematics 805, Springer-Verlag, Berlin, Heidelberg, New York, 1980. | MR | Zbl

[6] A. J. Ledger, M. Obata: Affine and Riemannian $s$-manifolds. J. Differential Geometry 2 (1968), 451-459. | DOI | MR | Zbl

[7] K. Nomizu: Invariant affine connections on homogeneous spaces. Amer. J. Math. 76 (1954), 33-65. | DOI | MR | Zbl

[8] E. M. Patterson, A. G. Walker: Riemann extensions. Quart. J. Math. Oxford 3 (1952), 19-28. | DOI | MR | Zbl

[9] M. Sekizawa: Lifts of generalized symmetric spaces to tangent bundles. to appear. | MR | Zbl

[10] N. A. Stepanov: The tangent bundle of $\phi$-spaces. Soviet Math. (Iz. VUZ) 27 (1983), 94-103. | MR

[11] M. Toomanian: Riemann extensions and complete lifts of $s$-spaces. Ph. D. Thesis, The University, Southampton, 1975.

[12] M. Toomanian: Killing vectorfields and infinitesimal affine transformations on a generalized Riemann extension. Tensor, N.S. 32 (1978), 335 - 338. | MR | Zbl

[13] K. Yano, S. Ishihara: Tangent and cotangent bundles. Marcel Dekker, Inc., New York, 1973. | MR | Zbl

[14] K. Yano, S. Kobayashi: Prolongations of tensor fields and connections to tangent bundles. J. Math. Soc. Japan, I 18 (1966), 194-210; II 18 (1966), 236-246. | DOI | Zbl

[15] M. Toomanian: Regular $s$-structure on TM. Tensor, N. S. 42 (1985), 225-228. | MR | Zbl

Cité par Sources :