具有负数量曲率的紧致黎曼流形的Killing向量场（英文）  

KILLING VECTOR FIELDS ON COMPACT RIEMANNIAN MANIFOLDS WITH NEGATIVE SCALAR CURVATURE

作　　者：付海平[1] 但萍萍 彭晓芸 

机构地区：[1]南昌大学数学系,江西南昌330031 [2]江西省税务干部学校,江西南昌330029

出　　处：《数学杂志》2017年第6期1118-1124,共7页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundations of China(11261038;11361041)

摘　　要：本文研究了具有负数量曲率的紧致黎曼流形上的Killing向量场.利用Bochner方法,得到在此类流形上非平凡的Killing向量场的存在的必要条件.这个结果拓广了文献[6]中的定理1.In this paper, we investigate killing vector fields on compact Riemannian manifolds with negative scalar curvature. By using the Bochner method, we obtain a necessary condition of the existence of non-trivial killing vector fields on these manifolds, which extends Theorem 1 due to [6].

关 键 词：KILLING向量场 负数量曲率 无迹Ricci曲率张量 

分 类 号：O186.12[理学—数学]