A Kenmotsu Metric as a *-conformal Yamabe Soliton with Torse Forming Potential Vector Field  

作　　者：Soumendu ROY Arindam BHATTACHARYYA 

机构地区：[1]Department of Mathematics,Jadavpur University,Kolkata 700032,India

出　　处：《Acta Mathematica Sinica,English Series》2021年第12期1896-1908,共13页数学学报（英文版）

基　　金：Supported by Swami Vivekananda Merit Cum Means Scholarship;Government of West Bengal,India。

摘　　要：The purpose of the present paper is to deliberate *-conformal Yamabe soliton,whose potential vector field is torse-forming on Kenmotsu manifold.Here,we have shown the nature of the soliton and find the scalar curvature when the manifold admitting *-conformal Yamabe soliton on Kenmotsu manifold.Next,we have evolved the characterization of the vector field when the manifold satisfies *-conformal Yamabe soliton.Also we have embellished some applications of vector field as torse-forming in terms of *-conformal Yamabe soliton on Kenmotsu manifold.We have developed an example of *-conformal Yamabe soliton on 3-dimensional Kenmotsu manifold to prove our findings.

关 键 词：*-conformal Yamabe soliton torse forming vector field conformal Killing vector field Kenmotsu manifold 

分 类 号：O186.12[理学—数学]