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Abstract <p>By giving a brief definition and example of Kenmotsu-like statistical manifolds, we investigate the geometry of invariant submanifolds of Kenmotsu-like statistical manifolds. We show that invariant submanifolds of these manifolds inherit Kenmotsu-like and Kaehler-like structure if the characteristic vector field <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12202_2025_8230_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\zeta\)</EquationSource> <!--LobJMat2460795Norouzi-m1--> </InlineEquation> be tangent and normal, respectively. Moreover, we prove that in tangent case, the submanifold is a statistical minimal submanifold.</p>

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Invariant Submanifolds of Kenmotsu-like Statistical Manifolds

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • M. B. Kazemi Balgeshir,
  • S. Norouzi,
  • M. Ilmakchi

摘要

Abstract

By giving a brief definition and example of Kenmotsu-like statistical manifolds, we investigate the geometry of invariant submanifolds of Kenmotsu-like statistical manifolds. We show that invariant submanifolds of these manifolds inherit Kenmotsu-like and Kaehler-like structure if the characteristic vector field \(\zeta\) be tangent and normal, respectively. Moreover, we prove that in tangent case, the submanifold is a statistical minimal submanifold.