On Ricci-pseudosymmetric hypersurfaces in space forms

Ryszard Deszcz; Marian Hotloś; Zerrin Sentürk

doi:10.1515/dema-2004-0121

On Ricci-pseudosymmetric hypersurfaces in space forms

Ryszard Deszcz, Marian Hotloś, Zerrin Sentürk

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We investigate curvature properties of hypersurfaces in semi-Riemannian space forms satisfying some curvature condition of pseudosymmetry type. Our main result states that such hypersurfaces must be Ricci-pseudosymmetric.

Original language	English
Pages (from-to)	203-214
Number of pages	12
Journal	Demonstratio Mathematica
Volume	37
Issue number	1
DOIs	https://doi.org/10.1515/dema-2004-0121
Publication status	Published - Jan 2004

Bibliographical note

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Keywords

Cartan hypersurface
Pseudosymmetry type manifold
Ricci-pseudosymmetric hypersurface

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10.1515/dema-2004-0121

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title = "On Ricci-pseudosymmetric hypersurfaces in space forms",

abstract = "We investigate curvature properties of hypersurfaces in semi-Riemannian space forms satisfying some curvature condition of pseudosymmetry type. Our main result states that such hypersurfaces must be Ricci-pseudosymmetric.",

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AU - Sentürk, Zerrin

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KW - Cartan hypersurface

KW - Pseudosymmetry type manifold

KW - Ricci-pseudosymmetric hypersurface

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On Ricci-pseudosymmetric hypersurfaces in space forms

Abstract

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Keywords

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