Journal of Jilin University Science Edition ›› 2024, Vol. 62 ›› Issue (6): 1359-1362.

Previous Articles     Next Articles

Ricci-Bourguignon Almost Solitons with  Projective Vector Field

ZHANG Xiaoli, LIU Jiancheng   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2024-03-04 Online:2024-11-26 Published:2024-11-26

Abstract: 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.

Key words: Ricci-Bourguignon almost soliton, projective vector field, conformal Killing, K-contact

CLC Number: 

  • O186.12