| Title:
|
Almost Hermitian manifolds with constant holomorphic sectional curvature (English) |
| Author:
|
Gray, Alfred |
| Author:
|
Vanhecke, Lieven |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
104 |
| Issue:
|
2 |
| Year:
|
1979 |
| Pages:
|
170-179 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53B35 |
| idZBL:
|
Zbl 0413.53011 |
| idMR:
|
MR531928 |
| DOI:
|
10.21136/CPM.1979.118013 |
| . |
| Date available:
|
2009-09-23T08:58:43Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118013 |
| . |
| Reference:
|
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| Reference:
|
[2] A. Gray: Some examples of almost Hermitian manifolds.Illinois J. of Math. 10 (1966), 353-366. Zbl 0183.50803, MR 0190879 |
| Reference:
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[3] A. Gray: Almost complex submanifolds of the six sphere.Proc. Amer. Math. Soc. 20 (1969), 277-279. Zbl 0165.55803, MR 0246332 |
| Reference:
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[4] A. Gray: Vector cross products on manifolds.Trans. Amer. Math. Soc. 141 (1969), 465-504. Zbl 0182.24603, MR 0243469 |
| Reference:
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[5] A. Gray: Nearly Kahler manifolds.J. Differential Geometry, 4 (1970), 283-309. MR 0267502 |
| Reference:
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[6] A. Gray: Riemannian manifolds with geodesic symmetries of order 3.J. Differential Geometry 7 (1972), 343-369. Zbl 0275.53026, MR 0331281 |
| Reference:
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[7] A. Gray: Classification des vartetés approximativement kahleriennes de courbure sectionelle holomorphe constante.C. R. Acad. Sci. Paris 279 (1974), 797-799. MR 0358648 |
| Reference:
|
[8] A. Gray: Curvature identities for Hermitian and almost Hermitian manifolds.Tohoku Math. J., 28 (1976), 601-612. Zbl 0351.53040, MR 0436054 |
| Reference:
|
[9] S. Goldberg: Integrability of almost Kahler manifolds.Proc. Amer. Math. Soc. 21 (1969), 96-100. MR 0238238 |
| Reference:
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[10] N. S. Haywley: Constant holomorphic sectional curvature.Canad. Math. J. 5 (1953), 53-56. |
| Reference:
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[11] L. M. Hervella, A. M. Naveira: Schur's theorem for nearly Kahler manifolds.Proc. Amer. Math. Soc, 49 (1975), 280-284. MR 0367848 |
| Reference:
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[12] L. M. Hervella, A. M. Naveira: Quasi-Kahler manifolds.(to appear). |
| Reference:
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[13] J. Igusa: On the structure of a certain class of Kahler manifolds.Amer. J. Math. 76 (1954), 669-678. MR 0063740 |
| Reference:
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[14] M. Matsumoto: On 6-dimensional almost Tachibana spaces.Tensor, N. S. 23 (1972), 250-252. Zbl 0236.53048, MR 0312431 |
| Reference:
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[15] G. B. Rizza: Varietá parakahleriane.Annali di Matematica pura ed applicata (IV) 98 (1974), 47-61. MR 0341322 |
| Reference:
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[16] I. Sató: On special K-spaces of constant holomorphic sectional curvature.Tensor, N.S. 24, (1972), 355-362. MR 0380659 |
| Reference:
|
[17] K. Takamatsu: Some properties of 6-dimensional K-spaces.Kódai Math. Sem. Rep. 23, (1971), 215-232. Zbl 0222.53036, MR 0287499 |
| Reference:
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[18] K. Takamatsu, T. Sató: A K-space of constant holomorphic sectional curvature.Kodai Math. Sem. Rep. 27 (1976), 116-127. MR 0405308 |
| Reference:
|
[19] S. Tanno: Constancy of holomorphic sectional curvature in almost Hermitian manifold.Kodai Math. Sem. Rep. 25 (1973), 190-201. MR 0317253 |
| Reference:
|
[20] F. Tricerri, L. Vanhecke: An example of a 6-dimensional flat almost hermitian manifold.Colloq. Math. 50 (1978), 111-117. Zbl 0409.53046, MR 0529804 |
| Reference:
|
[21 ] F. Tricerri, L. Vanhecke: Flat almost Hermitian manifolds which are not Kahler manifolds.Tensor 31 (1977), 249-254. MR 0474106 |
| Reference:
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[22] Y. Watanabe, K. Takamatsu: On a K-space of constant holomorphic sectional curvature.Kódai Math. Sem. Rep. 23 (1973), 297-306. Zbl 0276.53029, MR 0328805 |
| Reference:
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[23] S. Yamaguchi G. Chuman, M. Matsumoto: On a special almost Tachibana space.Tensor, N.S. 24 (1972), 351-354. MR 0338975 |
| Reference:
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[24] K. Yano, I. Mogi: On real representations of Kahlerian manifolds.Ann. of Math. 61, (1955), 170-188. MR 0068291 |
| . |
