COMPLETE HYPERSURFACES WITH CONSTANT SCALAR CURVATURE IN A SPECIAL KIND OF LOCALLY SYMMETRIC MANIFOLD

COMPLETE HYPERSURFACES WITH CONSTANT SCALAR CURVATURE IN A SPECIAL KIND OF LOCALLY SYMMETRIC MANIFOLD

In this paper, we investigate n-dimensional complete and orientable hypersu- faces Mn （n≥3） with constant normalized scalar curvature in a locally symmetric manifold. Two rigidity theorems are obtained for these hypersurfaces.

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Veröffentlicht in:分析理论与应用：英文刊 2012, Vol.28 (2), p.189-200
1. Verfasser: Yingbo Han Shuxiang Feng
Format: Artikel
Sprache:chi
Schlagworte:
n维
刚性定理
完备超曲面
局部对称流形
常数量曲率
标准化
锰
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Zusammenfassung:In this paper, we investigate n-dimensional complete and orientable hypersu- faces Mn （n≥3） with constant normalized scalar curvature in a locally symmetric manifold. Two rigidity theorems are obtained for these hypersurfaces.
ISSN:1672-4070
1573-8175