伪黎曼流形中的紧致类空子流形

• 作 者: 孙和军 吴报强
• 机 构: Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,ChinaDepartmen
• 出 处: 数学季刊(英文版)
• 发表日期: 2004年1期
• 关键词: pseudo-Riemannian manifold submanifold hypersurface parallel second fundamental

We first establish a integral inequality for compact maximal space-like submanifolds in pseudo-Riemannian manifolds Nnp+p.Then,we investigate compact space-like submanifolds and hupersurfaces with parallel second fundamental form in Nnp+p and some other ambient spaces.We obtain some distribution theorems for the square norm of the second fundamental form.