Real hypersurfaces of complex projective spaces
Real hypersurfaces of complex projective spaces
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复杂射影空间的真实超曲面
DOI：
10.1007/bf01457054
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发表时间：
1983
影响因子：
1.4
通讯作者：
S. Maeda
中科院分区：
文献类型：
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作者：
S. Maeda
设P ' '（~）表示具有常数全纯截面曲率4的Fubini-Study度量的复射影空间，设m >2。众所周知，不存在P”(C)的完全脐带实超曲面M（见Tashiro和Tachibana[7]）。此外，作为Codazzi方程的结果，不存在具有平行第二基本形式的实超曲面M。为了得到这个，Y. Maeda[4]估计了第二个基本形式的导数的范数。他展示了
Let P"(~) denote the complex projective space with Fubini-Study metric of constant holomorphic sectional curvature 4 and suppose m >2. It is well-known that there does not exist a totally umbilical real hypersurface M of P"(C) (see Tashiro and Tachibana [7]). Moreover, as a consequence of Codazzi equation, there does not exist a real hypersurface M of pro(C) with parallel second fundamental form. To get this, Y. Maeda [4] estimated the norm of the derivative of the second fundamental form. He showed