On the Ricci-Bourguignon flow

被引：13
|
作者：
Ho, Pak Tung [1 ,2 ]
机构：
[1] Sogang Univ, Dept Math, Seoul 04107, South Korea
[2] Korea Inst Adv Study, 85 Hoegiro, Seoul 02455, South Korea
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2020年 / 31卷 / 06期
基金：
新加坡国家研究基金会;
关键词：
Ricci-Bourguignon flow; soliton; geometric flow; YAMABE FLOW; CONVERGENCE; EVOLUTION; MONOTONICITY; EIGENVALUES; CONSTANT;
D O I：
10.1142/S0129167X20500445
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the Ricci-Bourguignon flow of all locally homogenous geometries on closed three-dimensional manifolds. We also consider the evolution of the Yamabe constant under the Ricci-Bourguignon flow. Finally, we prove some results for the Bach-flat shrinking gradient soliton to the Ricci-Bourguignon flow.
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页数：40
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