@article{SM_2002_193_5_a3,
author = {V. F. Kirichenko and L. I. Vlasova},
title = {Concircular geometry of nearly {K\"ahler} manifolds},
journal = {Sbornik. Mathematics},
pages = {685--707},
year = {2002},
volume = {193},
number = {5},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2002_193_5_a3/}
}
V. F. Kirichenko; L. I. Vlasova. Concircular geometry of nearly Kähler manifolds. Sbornik. Mathematics, Tome 193 (2002) no. 5, pp. 685-707. http://geodesic.mathdoc.fr/item/SM_2002_193_5_a3/
[1] Besse A., Mnogoobraziya Einshteina, T. I, II, Mir, M., 1990 | MR | Zbl
[2] Vaisman I., “On locally and globally conformal Kähler manifold”, Trans. Amer. Math. Soc., 262 (1980), 533–542 | DOI | MR | Zbl
[3] Kirichenko V. F., “Lokalno konformno-kelerovy mnogoobraziya postoyannoi golomorfnoi sektsionnoi krivizny”, Matem. sb., 182:3 (1991), 354–363 | MR
[4] Gray A., Hervella L. M., “The sixteen classes of almost Hermitian manifolds and their linear invariants”, Ann. Math. Pura Appl. (4), 123:4 (1980), 35–58 | DOI | MR | Zbl
[5] Kirichenko V. F., Schipkova N. N., “O geometrii mnogoobrazii Greya–Vaismana”, UMN, 49:2 (1994), 155–156 | MR
[6] Yano K., “Concircular geometry. I; II; III; IV”, Proc. Imp. Acad. Japan, 16 (1940), 195–200 ; 354–360; 442–448; 505–511 | DOI | MR | Zbl
[7] Fialkow A., “Conformals geodesics”, Trans. Amer. Math. Soc., 45 (1939), 443–473 | DOI | MR | Zbl
[8] Sinyukov N. S., Geodezicheskie otobrazheniya rimanovykh prostranstv, Nauka, M., 1979 | MR | Zbl
[9] Vries H. L., “Über Riemannische Räume, die infinitesimal konforme Transformationen gestatten”, Math. Z., 60:3 (1954), 328–347 | DOI | MR | Zbl
[10] Kobayashi Sh., Nomidzu K., Osnovy differentsialnoi geometrii, T. I, II, Nauka, M., 1981
[11] Goldberg S. J., Kobayashi S., “The conformal transformation group of compact Riemannian manifold”, Amer. J. Math., 84 (1962), 170–174 | DOI | MR | Zbl
[12] Nagano T., “The conformal transformations on the space with parallel Ricci tensor”, J. Math. Soc. Japan, 11 (1959), 10–14 | MR | Zbl
[13] Kirichenko V. F., “$K$-prostranstva postoyannogo tipa”, Sib. matem. zhurn., 17:2 (1976), 282–289 | MR | Zbl
[14] Kirichenko V. F., “O geometrii odnorodnykh $K$-prostranstv”, Matem. zametki, 30:4 (1981), 569–582 | MR | Zbl
[15] Kirichenko V. F., “Generalized quasi-Kählerian manifolds and axioms of $CR$-submanifolds in generalized Hermitian geometry, I”, Geom. Dedicata, 51 (1994), 75–104 | DOI | MR | Zbl
[16] Kirichenko V. F., “Aksioma $\Phi$-golomorfnykh ploskostei v kontaktnoi metricheskoi geometrii”, Izv. AN SSSR. Ser. matem., 48:4 (1984), 711–739 | MR
[17] Kirichenko V. F., Ezhova N. A., “Konformnye invarianty mnogoobrazii Vaismana–Greya”, UMN, 51:2 (1996), 163–164 | MR | Zbl
[18] Arseneva O. E., Kirichenko V. F., “Avtodualnaya geometriya obobschennykh ermitovykh poverkhnostei”, Matem. sb., 189:1 (1998), 21–44 | MR | Zbl
[19] Gray A., “Nearly Kähler manifolds”, J. Differential Geom., 4:3 (1970), 283–309 | MR | Zbl
[20] Gray A., “The structure of nearly Kähler manifolds”, Math. Ann., 223 (1976), 233–248 | DOI | MR | Zbl
[21] Vaisman I., “Locally conformal Kähler manifolds with parallel Lie form”, Rend. Mat. (6), 12 (1979), 268–284 | MR
[22] Gray A., “Curvature identities for Hermitian and almost Hermitian manifolds”, Tôhoku Math. J. (2), 28:4 (1976), 601–612 | DOI | MR | Zbl
[23] Rizza J.-B., “Varietá parakähleriane”, Ann. Mat. Pura Appl., 98:4 (1974), 47–61 | MR | Zbl
[24] Vanhecke L., “Almost Hermitian manifolds with $J$-invariant Riemann curvature tensor”, Rend. Sem. Mat. Univ. Politec. Torino, 34 (1975–1976), 487–498 | MR
[25] Kirichenko V. F., “Generalized quasi-Kählerian manifolds and axioms of $CR$-submanifolds in generalized Hermitian geometry, II”, Geom. Dedicata, 52 (1994), 53–85 | DOI | MR | Zbl
[26] Kirichenko V. F., “$K$-algebry i $K$-prostranstva postoyannogo tipa s indefinitnoi metrikoi”, Matem. zametki, 29:2 (1981), 265–278 | MR | Zbl
[27] Vanhecke L., “$\sigma$-hypersurfaces of generalized complex space forms”, Hokkaido Math. J., 6:1 (1977), 31–38 | MR | Zbl
[28] Sawaki S., Sekigawa K., “Almost Hermitian manifolds with constant holomorphic sectional curvature”, J. Differential Geom., 9 (1974), 123–134 | MR | Zbl
[29] Gray A., “Classification des variétes approximativement kähleriennes de courbure sectionelle holomorphe constante”, C. R. Acad. Sci. Paris Sér. I Math., 279:22 (1974), 797–800 | MR | Zbl
[30] Kirichenko V. F., “$K$-prostranstva postoyannoi golomorfnoi sektsionnoi krivizny”, Matem. zametki, 19:5 (1976), 805–814 | MR | Zbl
[31] Ignatochkina L. A., Kirichenko V. F., “Konformno-invariantnye svoistva priblizhenno kelerovykh mnogoobrazii”, Matem. zametki, 66:5 (1999), 653–663 | MR | Zbl