摘要
This paper gives some sufficient conditions for a compact Kaehler submanifold M<sup>n</sup> in a locally symmetric Bochner-Kaehler manifold <sup>n+p</sup> to be totally geodesic. The conditions are given by inequalities which are established between. the sectional curvature（resp, holomorphic sectional curvature） of M<sup>n</sup> and the Ricci curvature of <sup>n+p</sup>. In particular, similar results in the case where <sup>n+p</sup> is a complex projective spathe are contained.
This paper gives some sufficient conditions for a compact Kaehler submanifold M^n in a locally symmetric Bochner-Kaehler manifold ^(n+p) to be totally geodesic. The conditions are given by inequalities which are established between. the sectional curvature(resp, holomorphic sectional curvature) of M^n and the Ricci curvature of ^(n+p). In particular, similar results in the case where ^(n+p) is a complex projective spathe are contained.
