Totally real submanifolds with nonnegative sectional curvature

Ohnita, Yoshihiro

doi:10.1090/S0002-9939-1986-0840632-2

Totally real submanifolds with nonnegative sectional curvature
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Proc. Amer. Math. Soc. 97 (1986), 474-478 Request permission

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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