局部对称共形平坦黎曼流形中紧致子流形的一个刚性定理

A Rigidity Theorem on Compact Submanifolds in a Locally Symmetric,Conformally Flat Riemannian Manifold

研究局部对称共形平坦黎曼流形Nn+p(p≥2)中具有平等平均曲率向量的紧致子流形Mn的余维可约性问题,在n≥8的条件下得到了量佳拼挤常数.

In this paper, we study the geometry of submanfolds with parally mean curvature vector in a locally symmetric, conformally falt Riemannian manifold, we obtain the best pinching constant for reduction of the codimension with n≥8.