Almost Hermitian manifolds with constant holomorphic sectional curvature
Časopis pro pěstování matematiky, Tome 104 (1979) no. 2, pp. 170-179

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

DOI MR   Zbl

DOI : 10.21136/CPM.1979.118013
Classification : 53B35
Gray, Alfred; Vanhecke, Lieven. Almost Hermitian manifolds with constant holomorphic sectional curvature. Časopis pro pěstování matematiky, Tome 104 (1979) no. 2, pp. 170-179. doi: 10.21136/CPM.1979.118013
@article{10_21136_CPM_1979_118013,
     author = {Gray, Alfred and Vanhecke, Lieven},
     title = {Almost {Hermitian} manifolds with constant holomorphic sectional curvature},
     journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
     pages = {170--179},
     year = {1979},
     volume = {104},
     number = {2},
     doi = {10.21136/CPM.1979.118013},
     mrnumber = {531928},
     zbl = {0413.53011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1979.118013/}
}
TY  - JOUR
AU  - Gray, Alfred
AU  - Vanhecke, Lieven
TI  - Almost Hermitian manifolds with constant holomorphic sectional curvature
JO  - Časopis pro pěstování matematiky
PY  - 1979
SP  - 170
EP  - 179
VL  - 104
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1979.118013/
DO  - 10.21136/CPM.1979.118013
LA  - en
ID  - 10_21136_CPM_1979_118013
ER  - 
%0 Journal Article
%A Gray, Alfred
%A Vanhecke, Lieven
%T Almost Hermitian manifolds with constant holomorphic sectional curvature
%J Časopis pro pěstování matematiky
%D 1979
%P 170-179
%V 104
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CPM.1979.118013/
%R 10.21136/CPM.1979.118013
%G en
%F 10_21136_CPM_1979_118013

[1] A. Gray: Minimal varieties and almost Hermitian submanifolds. Michigan Math. J. 12 (1965), 273-287. | MR | Zbl

[2] A. Gray: Some examples of almost Hermitian manifolds. Illinois J. of Math. 10 (1966), 353-366. | MR | Zbl

[3] A. Gray: Almost complex submanifolds of the six sphere. Proc. Amer. Math. Soc. 20 (1969), 277-279. | MR | Zbl

[4] A. Gray: Vector cross products on manifolds. Trans. Amer. Math. Soc. 141 (1969), 465-504. | MR | Zbl

[5] A. Gray: Nearly Kahler manifolds. J. Differential Geometry, 4 (1970), 283-309. | MR

[6] A. Gray: Riemannian manifolds with geodesic symmetries of order 3. J. Differential Geometry 7 (1972), 343-369. | MR | Zbl

[7] A. Gray: Classification des vartetés approximativement kahleriennes de courbure sectionelle holomorphe constante. C. R. Acad. Sci. Paris 279 (1974), 797-799. | MR

[8] A. Gray: Curvature identities for Hermitian and almost Hermitian manifolds. Tohoku Math. J., 28 (1976), 601-612. | MR | Zbl

[9] S. Goldberg: Integrability of almost Kahler manifolds. Proc. Amer. Math. Soc. 21 (1969), 96-100. | MR

[10] N. S. Haywley: Constant holomorphic sectional curvature. Canad. Math. J. 5 (1953), 53-56.

[11] L. M. Hervella, A. M. Naveira: Schur's theorem for nearly Kahler manifolds. Proc. Amer. Math. Soc, 49 (1975), 280-284. | MR

[12] L. M. Hervella, A. M. Naveira: Quasi-Kahler manifolds. (to appear).

[13] J. Igusa: On the structure of a certain class of Kahler manifolds. Amer. J. Math. 76 (1954), 669-678. | MR

[14] M. Matsumoto: On 6-dimensional almost Tachibana spaces. Tensor, N. S. 23 (1972), 250-252. | MR | Zbl

[15] G. B. Rizza: Varietá parakahleriane. Annali di Matematica pura ed applicata (IV) 98 (1974), 47-61. | MR

[16] I. Sató: On special K-spaces of constant holomorphic sectional curvature. Tensor, N.S. 24, (1972), 355-362. | MR

[17] K. Takamatsu: Some properties of 6-dimensional K-spaces. Kódai Math. Sem. Rep. 23, (1971), 215-232. | MR | Zbl

[18] K. Takamatsu, T. Sató: A K-space of constant holomorphic sectional curvature. Kodai Math. Sem. Rep. 27 (1976), 116-127. | MR

[19] S. Tanno: Constancy of holomorphic sectional curvature in almost Hermitian manifold. Kodai Math. Sem. Rep. 25 (1973), 190-201. | MR

[20] F. Tricerri, L. Vanhecke: An example of a 6-dimensional flat almost hermitian manifold. Colloq. Math. 50 (1978), 111-117. | MR | Zbl

[21 ] F. Tricerri, L. Vanhecke: Flat almost Hermitian manifolds which are not Kahler manifolds. Tensor 31 (1977), 249-254. | MR

[22] Y. Watanabe, K. Takamatsu: On a K-space of constant holomorphic sectional curvature. Kódai Math. Sem. Rep. 23 (1973), 297-306. | MR | Zbl

[23] S. Yamaguchi G. Chuman, M. Matsumoto: On a special almost Tachibana space. Tensor, N.S. 24 (1972), 351-354. | MR

[24] K. Yano, I. Mogi: On real representations of Kahlerian manifolds. Ann. of Math. 61, (1955), 170-188. | MR

Cité par Sources :