Scholarlink

<p>This paper’s goal is to study Chen’s first inequality and its applications to relate intrinsic and extrinsic geometric aspects of the Riemannian submanifolds of the source manifolds using the features of the target manifolds of Riemannian maps. Precisely, we study Chen’s first inequality for Riemannian maps from Riemannian manifolds to complex space forms involving sectional, scalar, and mean curvatures, and its applications to estimate <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10998_2025_673_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\delta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>δ</mi> </math></EquationSource> </InlineEquation>-invariants on the orthogonal complementary space of kernel spaces when the target spaces are complex Euclidean, complex projective, and complex hyperbolic spaces. We also provide estimations for <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10998_2025_673_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\delta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>δ</mi> </math></EquationSource> </InlineEquation>-invariants when the leaves of range spaces are real hypersurfaces of complex hyperbolic and complex projective spaces.</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

Chen’s first inequality for Riemannian maps to complex space forms and \(\delta \)-invariants

  • 期刊论文

  • 发表日期：

    2025年7月21日

查看全文
  • Kiran Meena,
  • Bayram Şahin,
  • Hemangi Madhusudan Shah

摘要

This paper’s goal is to study Chen’s first inequality and its applications to relate intrinsic and extrinsic geometric aspects of the Riemannian submanifolds of the source manifolds using the features of the target manifolds of Riemannian maps. Precisely, we study Chen’s first inequality for Riemannian maps from Riemannian manifolds to complex space forms involving sectional, scalar, and mean curvatures, and its applications to estimate \(\delta \) δ -invariants on the orthogonal complementary space of kernel spaces when the target spaces are complex Euclidean, complex projective, and complex hyperbolic spaces. We also provide estimations for \(\delta \) δ -invariants when the leaves of range spaces are real hypersurfaces of complex hyperbolic and complex projective spaces.