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In this study, we establish Chen-type inequalities for pointwise quasi hemi-slant submanifolds within Kaehler manifolds, giving explicit relations among the mean curvature, scalar curvature, sectional curvature, Ricci curvature, and the ambient space’s sectional curvature. Moreover, we characterize the conditions under which these inequalities become equalities.

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B. Y. Chen Inequalities for Pointwise Quasi Hemi-slant Submanifolds of a Kaehler Manifold

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  • 发表日期：

    2026年

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  • Nergiz Önen Poyraz,
  • Mehmet Akif Akyol,
  • Erol Yaşar

摘要

In this study, we establish Chen-type inequalities for pointwise quasi hemi-slant submanifolds within Kaehler manifolds, giving explicit relations among the mean curvature, scalar curvature, sectional curvature, Ricci curvature, and the ambient space’s sectional curvature. Moreover, we characterize the conditions under which these inequalities become equalities.