Symmetry properties of S-space-forms

DOI10.1007/s00022-015-0262-6zbMath1329.53066OpenAlexW1992682156WikidataQ125844712 ScholiaQ125844712MaRDI QIDQ895718

Rachida Kaid, Mohamed Belkhelfa

Publication date: 4 December 2015

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-015-0262-6

zbMATH Keywords

pseudo-symmetryRicci-generalized pseudo-symmetryRicci-pseudo-symmetryS-space-form

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of symmetric spaces (53C35) Local Riemannian geometry (53B20)

Related Items (2)

Geometric aspects of CR-warped product submanifolds of T-manifolds ⋮ Second-order parallel tensors on \(\mathcal{S} \)-manifolds and semiparallel hypersurfaces of \(\mathcal{S} \)-space forms

Cites Work

• The symmetry of warped product space-times
• Properties of a scalar curvature invariant depending on two planes
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). II. Global versions
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
• Normally flat Ric-semisymmetric submanifolds in Euclidean spaces
• Structure theorems for Riemannian Ricci semi-symmetric spaces
• Geometry of manifolds with structural group \(\mathcal U(n)\times\mathcal O(s)\)
• A concise mini history of geometry
• ON RICCI-PSEUDO-SYMMETRIC WARPED PRODUCTS
• Invariant submanifolds of an $f$-manifold with complemented frames
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