Lorentz空间型中正常2-调和超曲面的分类

本文对Lorentz空间型中的正常2-调和超曲面进行了完全分类,它的形状算子的极小多项式的阶数至多是2.     

$\delta$-拼挤流形中的2-调和子流形

We study biharmonic submanifolds in δ-pinched Riemannian manifolds, and obtain some sufficient conditions for biharmonic submanifolds to be minimal ones.     

非平坦洛伦兹空间型中η-双调和超曲面的分类

本文对非平坦洛伦兹空间型中形状算子极小多项式的阶数至多为2的η-双调和超曲面进行了完全分类.     

伪黎曼空间型中的2-调和类空子流形

本文研究了伪黎曼空间型中2-调和类空子流形的有关性质.利用活动标架法和Hopf原理,证明了伪脐2-调和类空子流形Mn是极大的,以及如果Mn是紧致的,那么Mn是全测地的,从而推广了[5,7]中的结果.     

常曲率空间中伪脐2-调和子流形(英文)

The conjecture [1] asserts that any biharmonic submanifold in sphere has constant mean curvature. In this paper, we first prove that this conjecture is true for pseudo-umbilical biharmonic submanifolds M n in constant curvature spaces S n+p (c)(c > 0), generalizing the result in [1]. Secondly, some sufficient conditions for pseudo-umbilical proper biharmonic submanifolds M n to be totally umbilical ones are obtained.