Scholarlink

<p>In this work we consider Ricci-Yamabe soliton on a weak <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\beta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation>-Kenmotsu manifold. At first we deduce some conditions about when a Ricci-Yamabe soliton on a weak <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\beta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation>-Kenmotsu manifold become expanding, steady or shrinking. We also prove that if the potential vector field of a Ricci-Yamabe soliton on a weak <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\beta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation>-Kenmotsu manifold is parallel to the Reeb vector field <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\xi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ξ</mi> </math></EquationSource> </InlineEquation> then it becomes an <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\eta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>η</mi> </math></EquationSource> </InlineEquation>-Einstein manifold. Finally we construct an example to verify the last theorem.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Ricci-Yamabe soliton on weak \(\beta \)-Kenmotsu manifolds

  • 期刊论文

  • 发表日期：

    2025年8月6日

查看全文
  • Pradip Majhi,
  • Raju Das

摘要

In this work we consider Ricci-Yamabe soliton on a weak \(\beta \) β -Kenmotsu manifold. At first we deduce some conditions about when a Ricci-Yamabe soliton on a weak \(\beta \) β -Kenmotsu manifold become expanding, steady or shrinking. We also prove that if the potential vector field of a Ricci-Yamabe soliton on a weak \(\beta \) β -Kenmotsu manifold is parallel to the Reeb vector field \(\xi \) ξ then it becomes an \(\eta \) η -Einstein manifold. Finally we construct an example to verify the last theorem.