Almost Hermitian manifolds with constant holomorphic sectional curvature

Alfred Gray; Lieven Vanhecke

Časopis pro pěstování matematiky (1979)

  • Volume: 104, Issue: 2, page 170-179
  • ISSN: 0528-2195

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Gray, Alfred, and Vanhecke, Lieven. "Almost Hermitian manifolds with constant holomorphic sectional curvature." Časopis pro pěstování matematiky 104.2 (1979): 170-179. <http://eudml.org/doc/21379>.

@article{Gray1979,
author = {Gray, Alfred, Vanhecke, Lieven},
journal = {Časopis pro pěstování matematiky},
keywords = {almost Hermitian manifolds; holomorphic sectional curvature; quasi Kähler manifolds; nearly Kähler manifolds; projective space},
language = {eng},
number = {2},
pages = {170-179},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Almost Hermitian manifolds with constant holomorphic sectional curvature},
url = {http://eudml.org/doc/21379},
volume = {104},
year = {1979},
}

TY - JOUR
AU - Gray, Alfred
AU - Vanhecke, Lieven
TI - Almost Hermitian manifolds with constant holomorphic sectional curvature
JO - Časopis pro pěstování matematiky
PY - 1979
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 104
IS - 2
SP - 170
EP - 179
LA - eng
KW - almost Hermitian manifolds; holomorphic sectional curvature; quasi Kähler manifolds; nearly Kähler manifolds; projective space
UR - http://eudml.org/doc/21379
ER -

References

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  1. A. Gray, Minimal varieties and almost Hermitian submanifolds, Michigan Math. J. 12 (1965), 273-287. (1965) Zbl0132.16702MR0184185
  2. A. Gray, Some examples of almost Hermitian manifolds, Illinois J. of Math. 10 (1966), 353-366. (1966) Zbl0183.50803MR0190879
  3. A. Gray, Almost complex submanifolds of the six sphere, Proc. Amer. Math. Soc. 20 (1969), 277-279. (1969) Zbl0165.55803MR0246332
  4. A. Gray, Vector cross products on manifolds, Trans. Amer. Math. Soc. 141 (1969), 465-504. (1969) Zbl0182.24603MR0243469
  5. A. Gray, Nearly Kahler manifolds, J. Differential Geometry, 4 (1970), 283-309. (1970) MR0267502
  6. A. Gray, Riemannian manifolds with geodesic symmetries of order 3, J. Differential Geometry 7 (1972), 343-369. (1972) Zbl0275.53026MR0331281
  7. A. Gray, Classification des vartetés approximativement kahleriennes de courbure sectionelle holomorphe constante, C. R. Acad. Sci. Paris 279 (1974), 797-799. (1974) MR0358648
  8. A. Gray, Curvature identities for Hermitian and almost Hermitian manifolds, Tohoku Math. J., 28 (1976), 601-612. (1976) Zbl0351.53040MR0436054
  9. S. Goldberg, Integrability of almost Kahler manifolds, Proc. Amer. Math. Soc. 21 (1969), 96-100. (1969) MR0238238
  10. N. S. Haywley, Constant holomorphic sectional curvature, Canad. Math. J. 5 (1953), 53-56. (1953) 
  11. L. M. Hervella, A. M. Naveira, Schur's theorem for nearly Kahler manifolds, Proc. Amer. Math. Soc, 49 (1975), 280-284. (1975) MR0367848
  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. (1954) MR0063740
  14. M. Matsumoto, On 6-dimensional almost Tachibana spaces, Tensor, N. S. 23 (1972), 250-252. (1972) Zbl0236.53048MR0312431
  15. G. B. Rizza, Varietá parakahleriane, Annali di Matematica pura ed applicata (IV) 98 (1974), 47-61. (1974) MR0341322
  16. I. Sató, On special K-spaces of constant holomorphic sectional curvature, Tensor, N.S. 24, (1972), 355-362. (1972) MR0380659
  17. K. Takamatsu, Some properties of 6-dimensional K-spaces, Kódai Math. Sem. Rep. 23, (1971), 215-232. (1971) Zbl0222.53036MR0287499
  18. K. Takamatsu, T. Sató, A K-space of constant holomorphic sectional curvature, Kodai Math. Sem. Rep. 27 (1976), 116-127. (1976) MR0405308
  19. S. Tanno, Constancy of holomorphic sectional curvature in almost Hermitian manifold, Kodai Math. Sem. Rep. 25 (1973), 190-201. (1973) MR0317253
  20. F. Tricerri, L. Vanhecke, An example of a 6-dimensional flat almost hermitian manifold, Colloq. Math. 50 (1978), 111-117. (1978) Zbl0409.53046MR0529804
  21. F. Tricerri, L. Vanhecke, Flat almost Hermitian manifolds which are not Kahler manifolds, Tensor 31 (1977), 249-254. (1977) MR0474106
  22. Y. Watanabe, K. Takamatsu, On a K-space of constant holomorphic sectional curvature, Kódai Math. Sem. Rep. 23 (1973), 297-306. (1973) Zbl0276.53029MR0328805
  23. S. Yamaguchi G. Chuman, M. Matsumoto, On a special almost Tachibana space, Tensor, N.S. 24 (1972), 351-354. (1972) MR0338975
  24. K. Yano, I. Mogi, On real representations of Kahlerian manifolds, Ann. of Math. 61, (1955), 170-188. (1955) MR0068291

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