CHARACTERIZATIONS OF REAL HYPERSURFACES IN COMPLEX SPACE FORMS IN TERMS OF WEINGARTEN MAP
CHARACTERIZATIONS OF REAL HYPERSURFACES IN COMPLEX SPACE FORMS IN TERMS OF WEINGARTEN MAP
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复杂空间形式中真实超表面的 Weingarten 映射特征
DOI：
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发表时间：
1995
期刊：
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通讯作者：
Y. Suh
中科院分区：
文献类型：
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作者：
Y. Suh
本文由两部分组成。一种是给出复空间形式$M_{n}(C)，$$c\neq 0$中直纹实超曲面的概念，并计算其Weingarten映射的协变导数的表达式。此外，我们知道类型为$A$的实超曲面也满足这个表达式。二是证明了$M_{n}(C)$中仅有的直纹实超曲面或类型为$A$的实超曲面满足这个表达式。
This paper consists of two parts. One is to give the notion of the ruled real hypersurfaces in a complex space form $M_{n}(c),$ $c\neq 0$ and to calculate the expression of the covariant derivative of its Weingarten map. Moreover, we know that real hypersurfaces of type $A$ also satisfy this expression. The other is to show that ruled real hypersurfaces or real hypersurfaces of type $A$ are the only real hypersurfaces in $M_{n}(c)$ which satisfy this expression.