Scholarlink

<p>The present paper focuses on the characterization of invariant submanifolds of hyperbolic Kenmotsu manifolds. First, we prove that an invariant submanifold of a hyperbolic Kenmotsu manifold is again a hyperbolic Kenmotsu manifold and is minimal. Next, the conditions for the invariant submanifold to be totally geodesic are obtained. Also, it is shown that a 3-dimensional submanifolds is totally geodesic if and only if it is invariant. Moreover, an invariant submanifold of a hyperbolic Kenmotsu manifold admitting <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\eta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>η</mi> </math></EquationSource> </InlineEquation>-Ricci–Bourguignon soliton is examined and constructed an example to verify the results.</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

Characterization of invariant submanifolds of hyperbolic Kenmotsu manifolds

  • 期刊论文

  • 发表日期：

    2025年7月16日

查看全文
  • Zosangzuala Chhakchhuak,
  • Jay Prakash Singh,
  • Sanasam Sarat Singh

摘要

The present paper focuses on the characterization of invariant submanifolds of hyperbolic Kenmotsu manifolds. First, we prove that an invariant submanifold of a hyperbolic Kenmotsu manifold is again a hyperbolic Kenmotsu manifold and is minimal. Next, the conditions for the invariant submanifold to be totally geodesic are obtained. Also, it is shown that a 3-dimensional submanifolds is totally geodesic if and only if it is invariant. Moreover, an invariant submanifold of a hyperbolic Kenmotsu manifold admitting \(\eta \) η -Ricci–Bourguignon soliton is examined and constructed an example to verify the results.