On totally real bisectional curvature

Houh, Chorng Shi

doi:10.1090/S0002-9939-1976-0400128-2

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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On totally real bisectional curvature
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by Chorng Shi Houh

Proc. Amer. Math. Soc. 56 (1976), 261-263

DOI: https://doi.org/10.1090/S0002-9939-1976-0400128-2

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Abstract:

A Kaehler manifold of dimension $\geqslant 3$ is a complex space form if and only if it has constant totally real bisectional curvature.

References

Bang-yen Chen and Koichi Ogiue, Some characterizations of complex space forms, Duke Math. J. 40 (1973), 797–799. MR 331289
Samuel I. Goldberg and Shoshichi Kobayashi, Holomorphic bisectional curvature, J. Differential Geometry 1 (1967), 225–233. MR 227901

Bibliographic Information

Journal: Proc. Amer. Math. Soc. 56 (1976), 261-263
DOI: https://doi.org/10.1090/S0002-9939-1976-0400128-2
MathSciNet review: 0400128