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

Matematik Bölümü

Agricultural University of Wrocław
Wrocław University of Science and Technology

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

26 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	81-97
Sayfa sayısı	17
Dergi	Colloquium Mathematicum
Hacim	89
Basın numarası	1
DOI'lar	https://doi.org/10.4064/cm89-1-6
Yayın durumu	Yayınlandı - 2001

Bibliyografik not

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

Belgeye Erişim

10.4064/cm89-1-6

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Quasi-einstein hypersurfaces in semi-Riemannian space forms",

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.",

keywords = "Hypersurface, Quasi-Einstein manifold, Ricci-semisymmetric manifold",

author = "Ryszard Deszcz and Marian Hotlo{\'s} and Ent{\"u}rk, \{Zerrin S.\}",

year = "2001",

doi = "10.4064/cm89-1-6",

language = "English",

volume = "89",

pages = "81--97",

journal = "Colloquium Mathematicum",

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publisher = "Institute of Mathematics. Polish Academy of Sciences",

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TY - JOUR

T1 - Quasi-einstein hypersurfaces in semi-Riemannian space forms

AU - Deszcz, Ryszard

AU - Hotloś, Marian

AU - Entürk, Zerrin S.

PY - 2001

Y1 - 2001

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85021166098

U2 - 10.4064/cm89-1-6

DO - 10.4064/cm89-1-6

M3 - Article

AN - SCOPUS:85021166098

SN - 0010-1354

VL - 89

SP - 81

EP - 97

JO - Colloquium Mathematicum

JF - Colloquium Mathematicum

IS - 1

ER -

Quasi-einstein hypersurfaces in semi-Riemannian space forms

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap