Characterization of Almostη-Ricci–Yamabe Soliton and Gradient Almostη-Ricci–Yamabe Soliton on Almost Kenmotsu Manifolds  

作　　者：Somnath MONDAL Santu DEY Arindam BHATTACHARYYA 

机构地区：[1]Department of Mathematics,Jadavpur University,Kolkata-700032,India [2]Department of Mathematics,Bidhan Chandra College Asansol-4,West Bengal-713304,India

出　　处：《Acta Mathematica Sinica,English Series》2023年第4期728-748,共21页数学学报（英文版）

基　　金：The first author is supported by UGC Junior Research Fellowship of India (Grant No.1157/ (SC) (CSIR-UGC NET DEC.2016))。

摘　　要：The prime object in this article is to study an almostη-Ricci-Yamabe soliton and gradient almostη-Ricci-Yamabe soliton within the framework of almost Kenmotsu manifolds.It is shown that normal almost Kenmotsu manifold admitting an almostη-Ricci-Yamabe soliton or gradientη-Ricci-Yamabe soliton is locally isometric to hyperbolic space H^(2n+1)(-1).Next,we prove that if a(κ,μ)almost Kenmotsu manifold admits an almostη-Ricci-Yamabe soliton,then the manifold isη-Einstein.Besides,we find the condition for non-normal almost Kenmotsu manifolds acknowledging gradient almostη-Ricci-Yamabe soliton.Moreover,an almostη-Ricci-Yamabe soliton on(κ,μ)’-almost Kenmotsu manifold has been studied.Lastly,we construct an example of a gradient almostη-Ricci-Yamabe soliton on a 3-dimensional Kenmotsu manifold.

关 键 词：Ricci soliton (k μ)-almost Kenmotsu manifold (r μ)-almost Kenmotsu manifold n-Ricci-Yamabe soliton 

分 类 号：O186.1[理学—数学]