On Ricci-pseudosymmetric hypersurfaces in spaces of constant curvature

DOI10.1007/BF03322827zbMath0832.53015MaRDI QIDQ1895232

Yanyan Li

Publication date: 26 February 1996

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

hypersurfacespseudosymmetric manifoldssemisymmetric manifolds

Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (9)

ON CURVATURE PROPERTIES OF CERTAIN QUASI-EINSTEIN HYPERSURFACES ⋮ On Roter type warped products with 1-dimensional fibres ⋮ On warped product manifolds satisfying some curvature conditions ⋮ Hypersurfaces in space forms satisfying some curvature conditions ⋮ On quasi-Einstein Cartan type hypersurfaces ⋮ A classification of pseudo-parallel hypersurfaces of \(\mathbb{S}^n \times \mathbb{R}\) and \(\mathbb{H}^n \times \mathbb{R}\) ⋮ On the parallel transport of the Ricci curvatures ⋮ Hypersurfaces in space forms satisfying some generalized Einstein metric condition ⋮ On hypersurfaces satisfying conditions determined by the Opozda–Verstraelen affine curvature tensor

Cites Work

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• The symmetry of warped product space-times
• Semi-symmetric Lorentzian hypersurfaces
• Pseudosymmetry curvature conditions imposed on the shape operators of hypersurfaces in the affine space
• On hypersurfaces satisfying a certain condition on the curvature tensor
• ON RICCI-PSEUDO-SYMMETRIC WARPED PRODUCTS
• Pseudo-symmetry curvature conditions on hypersurfaces of Euclidean spaces and on Kahlerian manifolds
• On pseudosymmetric space–times

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