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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Totally real submanifolds with nonnegative sectional curvature


Author: Yoshihiro Ohnita
Journal: Proc. Amer. Math. Soc. 97 (1986), 474-478
MSC: Primary 53C40
MathSciNet review: 840632
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Abstract: We prove that an $ n$-dimensional compact totally real submanifold immersed in an $ n$-dimensional complex space form with parallel mean curvature vector and nonnegative sectional curvature has parallel second fundamental form. Combining our result and Naitoh's works we obtain the classification of such submanifolds.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0840632-2
PII: S 0002-9939(1986)0840632-2
Keywords: Totally real submanifold, mean curvature vector, complex space form, parallel second fundamental form
Article copyright: © Copyright 1986 American Mathematical Society