共形平坦黎曼流形上的Schouten张量  

Schouten tensor on the locally conformally flat manifold

作　　者：华义平[1] 

机构地区：[1]池州学院数学计算机科学系,安徽池州247000

出　　处：《纯粹数学与应用数学》2012年第3期308-312,共5页Pure and Applied Mathematics

基　　金：池州学院研究生启动项目(2010RC019)

摘　　要：M是一个紧致的局部共形平坦黎曼流形,其上定义的Schouten张量是一个Codazzi张量.本文借助这个Codazzi张量引入Cheng和Yau的自伴算子,从而获得了局部共形平坦流形上的一些性质,改进了已有的结论.A compact locally conformally fiat Riemannian manifold M was considered, The Schouten tensor on M is a Codazzi tensor. In this paper, some new properties were obtained by introducing Cheng-Yauls self-adjoint operator □ on locally conformally fiat Riemannian manifold, which improve known conclusion.

关 键 词：局部共形平坦 SCHOUTEN张量 RICCI曲率 数量曲率 

分 类 号：O186.12[理学—数学]