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| KAEHLER SUBMANIFOLDS IN A LOCALLY SYMMETRIC BOCHNER-KAEHLER MANIFOLD |
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Citation： |
Guo xiaoying,Shen Yibing.KAEHLER SUBMANIFOLDS IN A LOCALLY SYMMETRIC BOCHNER-KAEHLER MANIFOLD[J].Chinese Annals of Mathematics B,1989,10(1):43~49 |
| Page view： 745
Net amount： 804 |
Authors： |
Guo xiaoying; Shen Yibing |
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| Abstract： |
This paper gives some sufficient conditions for a compact Kaehler submanifold $M^{n}$ in locally symmetric Bochner-Kaeliler manifold $M^{n+p}$ to be totally geodesic. The condition are given by inequalities which are established between. the sectional curvature(resp. hole morphic sectional curvature) of $M^{n}$ and the Ricci curvature of $M^{n+p}$, In particular, simils results in the case where $M^{n+p}$ is a complex projective space are contained. |
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