In our preceding paper, we gave some Pinching conditions of sectional curvature and holomorphic sectional curvature for a compact Kaehler submanifold Mn in a locally symmetric Bochner-Kaehler manifold （?）n+p to be t...In our preceding paper, we gave some Pinching conditions of sectional curvature and holomorphic sectional curvature for a compact Kaehler submanifold Mn in a locally symmetric Bochner-Kaehler manifold （?）n+p to be totally geodesic. As a continuation, this letter gives the Pinching conditions of Ricci curvature and scalar curvature for Mn in （?）n+p to be totally geodesic. The main results are as follows.展开更多
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...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.展开更多
文摘In our preceding paper, we gave some Pinching conditions of sectional curvature and holomorphic sectional curvature for a compact Kaehler submanifold Mn in a locally symmetric Bochner-Kaehler manifold （?）n+p to be totally geodesic. As a continuation, this letter gives the Pinching conditions of Ricci curvature and scalar curvature for Mn in （?）n+p to be totally geodesic. The main results are as follows.
文摘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.
