局部对称Bochner—Kaehler流形的Kaehler子流形

AEHLER SUBMANIFOLDS IN ALOCALLY SYMMETRIC BOCHNER-KAEHLER MANIFOLD

本文证明若局部对称的Bochner—Kaehler流形(?)的紧Kaehler子流形M的全纯截面曲率大于(?)的全纯截面曲率的最大值的一半,则M是全测地的。

In the present paper we obtain the following result. Let M be a compact Kaehler submanifold in a locally symmetric Bochner Kaehler manifold (?), By (?) we denote the maxium of the holomorphic sectional curvatures of(?). If each holomorphic sectional curvature of M is larger than 1/2(?), then M is totally geodesic.