伪黎曼空间型的2-调和类空子流形

研究伪黎曼空间型的2-调和类空子流形, 通过计算, 获得了这种子流形上一个Simons型积分不等式. 对该子流形进行一定限制, 使其成为极大类空子流形, 再利用Simons型积分不等式, 分别讨论了外围空间伪黎曼空间型截面曲率为正、负或零时子流形的各种性质, 得到了一系列结果.

2-Harmonic Space-like Submanifolds in a Pseudo-Riemannian Space Form

2-Harmonic space-like submanifolds in a pseudo-Riemannian space form was studied,and a Simons form inequality of integration was obtained via calculations.After the submanifold was restricted it became a maximal space-like submanifold,and the Simons form integral inequality was used to discuss the submanifold properties when the sectional curvature of the pseudo-Riemannian space form is positive,negative and zero,respectively,and some results were obtained.