紧致h-近Ricci孤立子的平凡性结果  

The Triviality Results of Compact h-Almost Ricci Solitons

作　　者：魏苗苗 刘建成 WEI Miao-miao;LIU Jian-cheng(School of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《西南师范大学学报（自然科学版）》2021年第4期29-33,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11761061).

摘　　要：主要研究了h-近Ricci孤立子,利用散度定理及Schur引理得到了有关紧致h-近Ricci孤立子的平凡性结果,即在适当积分条件下,证明了紧致h-近Ricci孤立子为Einstein流形.In this paper,we study the h-almost Ricci solitons,by using the Divergence theorem and Schur theorem,we obtain the triviality results for compact h-almost Ricci solitons.In details,we prove that the compact h-almost Ricci solitons,which satisfying a appropriate integral condition are Einstein manifolds.

关 键 词：紧致h-近Ricci孤立子 EINSTEIN流形 KILLING向量场 

分 类 号：O186.12[理学—数学]