Quasi-einstein hypersurfaces in semi-Riemannian space forms

Ryszard Deszcz; Marian Hotloś; Zerrin S. Entürk

doi:10.4064/cm89-1-6

Quasi-einstein hypersurfaces in semi-Riemannian space forms

Ryszard Deszcz
, Marian Hotloś
, Zerrin S. Entürk

Department of Mathematics Engineering

Agricultural University of Wrocław
Wrocław University of Science and Technology

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

26 Citations (Scopus)

Abstract

We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying R · C = LQ (S, C), which is a curvature condition of pseu- dosymmetry type. We prove that under some additional assumptions the ambient space of such hypersurfaces must be semi-Euclidean and that they are quasi-Einstein Ricci- semisymmetric manifolds.

Original language	English
Pages (from-to)	81-97
Number of pages	17
Journal	Colloquium Mathematicum
Volume	89
Issue number	1
DOIs	https://doi.org/10.4064/cm89-1-6
Publication status	Published - 2001

Bibliographical note

Publisher Copyright:
© 2001, Instytut Matematyczny. All rights reserved.

Keywords

Hypersurface
Quasi-Einstein manifold
Ricci-semisymmetric manifold

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10.4064/cm89-1-6

Cite this

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abstract = "We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying R · C = LQ (S, C), which is a curvature condition of pseu- dosymmetry type. We prove that under some additional assumptions the ambient space of such hypersurfaces must be semi-Euclidean and that they are quasi-Einstein Ricci- semisymmetric manifolds.",

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AB - We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying R · C = LQ (S, C), which is a curvature condition of pseu- dosymmetry type. We prove that under some additional assumptions the ambient space of such hypersurfaces must be semi-Euclidean and that they are quasi-Einstein Ricci- semisymmetric manifolds.

KW - Hypersurface

KW - Quasi-Einstein manifold

KW - Ricci-semisymmetric manifold

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JO - Colloquium Mathematicum

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Quasi-einstein hypersurfaces in semi-Riemannian space forms

Abstract

Bibliographical note

Keywords

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