关键词: 伪Riemann流形, 局部对称, 极大类时子流形, 全测地类时子流形

Abstract:

Based on the moving frames, an integral inequality about maximal timelike submanifold was obtained in the locally symmetric pseudoRiemannian manifold and a pinching theorem about the squared norm of the second fundamental form for the compact maximal timelike submanifold was gived in locally symmetric pseudoRiemannian manifold.

Key words: pseudoRiemannian manifold, locally symmetric, maximum timelike , submanifold, totally geodesic timelike submanifold