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Proceedings of the American Mathematical Society

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

 

 

Positively curved complex submanifolds immersed in a complex space form


Author: Takehiro Itoh
Journal: Proc. Amer. Math. Soc. 72 (1978), 341-345
MSC: Primary 53C40
DOI: https://doi.org/10.1090/S0002-9939-1978-0507335-0
MathSciNet review: 507335
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Abstract: The author gives the partial solution for the conjecture; a Kaehler submanifold in a complex space form of constant holomorphic sectional curvature 1 is totally geodesic if ever its holomorphic sectional curvature is greater than $ \frac{1}{2}$.


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DOI: https://doi.org/10.1090/S0002-9939-1978-0507335-0
Keywords: Kaehler submanifold, Holomorphic pinching
Article copyright: © Copyright 1978 American Mathematical Society