De Sitter空间的2—调和类空子流形

2-Harmonic Space-like Submanifolds in de Sitter Space

证明了DeSitter空间的2—调和类空子流形,若其平均曲率向量是平行的,则必为极大类空子流形。得到了2—调和类空子流形的一个SimonsJ.型积分公式,并研究了其Pinching现象。

We prore the 2harmonic spacelike submanifolds in a de Sitter space must be maximal submanifold, if it has parallel mean curvature vector and also obtain a J. Simons' type integral formula, fininally study the pinching phenomenon.