具有射影向量场的近Ricci-Bourguignon孤立子  

Ricci-Bourguignon Almost Solitons with Projective Vector Field

作　　者：张晓丽 刘建成 ZHANG Xiaoli;LIU Jiancheng(College 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：《吉林大学学报（理学版）》2024年第6期1359-1362,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:12161078).

摘　　要：用几何分析的方法,研究具有射影向量场的近Ricci-Bourguignon孤立子.首先,证明势向量场是射影向量场的近Ricci-Bourguignon孤立子的Cot ton张量场为零,Bach张量场散度自由,Ricci张量场是共形Killing张量场;其次,证明势向量场为射影向量场的K-切触近Ricci-Bourguignon孤立子是Einstein流形.By using the method of geometric analysis,we study Ricci-Bourguignon almost solitons with projective vector field.Firstly,if the potential vector field is projective one,we prove that the Ricci-Bourguignon almost solitons have vanishing Cotton tensor field,divergence-free Bach tensor field and Ricci tensor field is conformal Killing tensor field.Secondly,we prove the K-contact Ricci-Bourguignon almost soliton whose potential vector field is a projective vector field is an Einstein mainfold.

关 键 词：近Ricci-Bourguignon孤立子 射影向量场 共形Killing K-切触 

分 类 号：O186.12[理学—数学]