Second-order parallel tensors on \(\mathcal{S} \)-manifolds and semiparallel hypersurfaces of \(\mathcal{S} \)-space forms

DOI10.1007/s11253-020-01735-8zbMath1506.53024OpenAlexW3020603196WikidataQ114223167 ScholiaQ114223167MaRDI QIDQ2100677

F. Mahi, Mohamed Belkhelfa

Publication date: 24 November 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-020-01735-8

zbMATH Keywords

symmetric tensor\(\mathcal{S} \)-manifoldsemiparallel hypersurface

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25)

Related Items (1)

Second Order parallel tensor on generalized f.pk-space form and hypersurfaces of generalized f.pk-space form

Cites Work

• Second order parallel tensors on generalized Sasakian space forms and semi parallel hypersurfaces in Sasakian space forms
• Symmetry properties of S-space-forms
• Semi-parallel surfaces in Euclidean space
• Semi-parallel hypersurfaces of a real space form
• Contact manifolds in Riemannian geometry
• The curvature of submanifolds of an \(S\)-space form
• On pseudo-umbilical hypersurfaces of \(S\)-manifolds
• Geometry of manifolds with structural group \(\mathcal U(n)\times\mathcal O(s)\)
• Pseudo-parallel submanifolds of a space form
• Invariant submanifolds of an $f$-manifold with complemented frames
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