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Compact Space-like Submanifolds in Pseudo-Riemann Manifold 被引量:1

Compact Space-like Submanifolds in Pseudo-Riemann Manifold
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摘要 We first establish a integral inequality for compact maximal space-like subman ifolds in pseudo-Riemannian manifolds Np(n+p). Then, we investigate compact space-like sub manifolds and hupersurfaces with parallel second fundamental form in Np(n+p) and some other ambient spaces. We obtain some distribution theorems for the square norm of the second fundamental form.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2004年第1期6-15,共10页 数学季刊(英文版)
基金 Supported by the NNSF of China(10071080)
关键词 pseudo-Riemannian manifold SUBMANIFOLD HYPERSURFACE parallel second fundamental form space-like 微分几何 子流形 黎曼几何 超曲面
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