%0 Journal Article
%T 具有负数量曲率的紧致黎曼流形的Killing向量场<br>KILLING VECTOR FIELDS ON COMPACT RIEMANNIAN MANIFOLDS WITH NEGATIVE SCALAR CURVATURE
%A 作者
%A 付海平
%A 但萍萍
%A 彭晓芸
%J 数学杂志
%D 2017
%X 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.<br>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]
%K Killing向量场 负数量曲率 无迹Ricci曲率张量&lt
%K br&gt
%K killing vector field negative scalar curvature trace-free Ricci curvature tensor
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170602&flag=1