伪Riemann流形中的2-调和类空子流形

2-Harmonic Space-like Submanifolds in Pseudo-Riemann Manifold

通过推广相关定理,给出了具有非负截面曲率的伪Riemann流形中的2-调和类空子流形成为极大类空子流形的一个充分条件,并通过减弱相关定理的条件,讨论了外围流形Ricci曲率有上下界时的超曲面情况,从而改进了相关结果.

We obtained one sufficient condition under which a 2-harmonic submanifold with non-negative section curvature turns into a maximal submanifold by promoting known theorem. And We also studied the 2-harmonic hypersurfaces by weakening the conditions when the Ricci curvature of the ambient manifold had upper and lower restrict, thus improving the known results.