YAMABE SOLITON AND QUASI YAMABE SOLITON ON KENMOTSU MANIFOLD

被引：27

作者：

Ghosh, Amalendu ^{[1
]}

机构：

[1] Chandernagore Coll, Dept Math, Hooghly 712136, WB, India

来源：

MATHEMATICA SLOVACA | 2020年 / 70卷 / 01期

关键词：

almost contact metric manifold; Kenmotsu manifold; Yamabe soliton; quasi-Yamabe soliton; CONVERGENCE; FLOW; CLASSIFICATION;

D O I：

10.1515/ms-2017-0340

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study Yamabe soliton and quasi Yamabe soliton on Kenmotsu manifold. First, we prove that if a Kenmotsu metric is a Yamabe soliton, then it has constant scalar curvature. Examples has been provided on a larger class of almost Kenmotsu manifolds, known as beta-Kenmotsu manifold. Next, we study quasi Yamabe soliton on a complete Kenmotsu manifold M and proved that it has warped product structure with constant scalar curvature in a region Sigma where vertical bar Df vertical bar not equal 0. (C) 2020 Mathematical Institute Slovak Academy of Sciences

引用

页码：151 / 160

页数：10

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