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<p>In this paper, as a generalization of slant submanifolds, pointwise slant submanifolds, slant submersions, pointwise slant submersions, and slant Riemannian maps, we introduce pointwise slant Riemannian maps from Sasakian manifolds onto Riemannian manifolds (<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="9_2025_2980_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="97" /> </InlineMediaObject> <EquationSource Format="TEX">\(\xi \in \Gamma (kerF_*)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ξ</mi> <mo>∈</mo> <mi mathvariant="normal">Γ</mi> <mo stretchy="false">(</mo> <mi>k</mi> <mi>e</mi> <mi>r</mi> <mmultiscripts> <mi>F</mi> <mrow> <mrow /> <mo>∗</mo> </mrow> <mrow /> </mmultiscripts> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>), and present examples and characterizations. On the other hand, we investigate the geometry of foliations which are arisen from the definition of a pointwise slant Riemannian maps from Sasakian manifolds onto Riemannian manifolds and obtain decomposition theorems by using the existence of maps of this such.</p>

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Pointwise Slant Riemannian Maps from Sasakian Manifolds with Vertical Reeb Vector Field \(\xi \)

  • 期刊论文

  • 发表日期：

    2025年10月24日

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  • Ramazan Demir,
  • Cumali Yıldırım

摘要

In this paper, as a generalization of slant submanifolds, pointwise slant submanifolds, slant submersions, pointwise slant submersions, and slant Riemannian maps, we introduce pointwise slant Riemannian maps from Sasakian manifolds onto Riemannian manifolds ( \(\xi \in \Gamma (kerF_*)\) ξ ∈ Γ ( k e r F ∗ ) ), and present examples and characterizations. On the other hand, we investigate the geometry of foliations which are arisen from the definition of a pointwise slant Riemannian maps from Sasakian manifolds onto Riemannian manifolds and obtain decomposition theorems by using the existence of maps of this such.