近黎奇梯度孤立子的分类(英文)  

THE CLASSIFICATION OF GRADIENT RICCI ALMOST SOLITONS

作　　者：曾凡奇[1] 马冰清[1] 

机构地区：[1]河南师范大学数学系,河南新乡453007

出　　处：《数学杂志》2014年第2期251-258,共8页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11371018;11171368)

摘　　要：本文研究黎奇梯度孤立子的分类问题.利用与文献[11]类似的方法,在Bach张量等于零的条件下,对于n≥5,证明了流形是Einstein的或者Weyl曲率张量是调和的.We study the classification of a gradient Ricci almost soliton. Using similar methods as in [11] for n ≥ 5, we obtain that the Weyl curvature tensor is harmonic or Einstein under the assumption that the Bach tensor is flat.

关 键 词：黎奇梯度孤立子 Bach张量 Weyl曲率张量 

分 类 号：O186.12[理学—数学]