Maximal space-like submanifolds in locally symmetric pseudo-Riemannian manifolds
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摘要: 研究局部对称伪黎曼流形N^{n+p}_{p}中极大类空子流形 Mn. 当Mn 紧致时, 得到了Mn 是全测地子流形的一个充分条件. 当Mn 完备非紧时, 给出了它的第二基本型模长平方的一个拼挤定理.Abstract: In this article we study the maximal space-like submanifoldMn which is isometrically immersed into locally symmetric pseudo-Riemannian manifold Nn+p p . One main theroem is a sufficient condition for compactMn to be totally geodesic ones. We also prove a pinching theorem for the square length of the second fundamental form whenMn is complete.
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