COMPLETE HYPERSURFACES WITH RS = 0 IN E"+ '
COMPLETE HYPERSURFACES WITH RS = 0 IN E"+ '
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E" 中 RS = 0 的完整超曲面
DOI：
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发表时间：
1983
期刊：
影响因子：
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通讯作者：
Y. Matsuyama
中科院分区：
文献类型：
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作者：
Y. Matsuyama
局部对称黎曼流形满足RR = 0，特别是满足RS = 0。本文的目的是证明对于E ' ' +l中的完全超曲面，RR = 0和RS = 0是等价的，并利用RS = 0给出E ' ' +<中的局部对称超曲面的一些刻画。如果黎曼流形M是局部对称的，那么它的曲率张量R
A locally symmetric Riemannian manifold satisfies RR = 0 and in particular RS = 0. The purpose of this paper is to show that the conditions RR = 0 and RS = 0 are equivalent for complete hypersurfaces in E"+l and to give by RS = 0 some characterizations of locally symmetric hypersurfaces in E"+<. If a Riemannian manifold M is locally symmetric, then its curvature tensor R