利用活动标架法,得到了局部对称伪Riemann流形中极大类时子流形的一个Simons型积分不等式,以及该子流形成为全测地类时子流形的关于其第二基本形式模长平方的拼挤定理.
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.