局部共形对称黎曼流形上的保圆曲率张量长度的整体刚性定理

A Global Rigidity Theorem for the Length of Concircular Curvature Tensor on the Locally Conformally Symmetric Riemannian Manifold

中文关键词:  共性对称  黎曼曲率张量  保圆曲率向量  外尔张量  斯考滕张量

英文关键词:conformally symmetric  Riemannian curvature tensor  concircular curvature vector  Weyl tensor  Schouten tensor

中文摘要:

      本文我们研究了局部共形对称闭黎曼流形, 建立了一个关于保圆曲率矢量长度的整体刚度定理.

英文摘要:

      In this paper, we study the locally conformally symmetric closed Riemannian manifold, and establish a global rigidity theorem for the length of the concircular curvature vector.