On some family of generalized Einstein metric conditions

Ryszard Deszcz; Marian Hotloś; Zerrin Sentürk

doi:10.1515/dema-2001-0422

On some family of generalized Einstein metric conditions

Ryszard Deszcz, Marian Hotloś, Zerrin Sentürk

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

9 Atıf (Scopus)

Özet

We prove that every Einstein manifold of dimension > 4 satisfies some pseudosymmetry type curvature condition. Basing on this fact we introduce a family of curvature conditions. We investigate non-Einstein manifolds satisfying one of these conditions. We prove that every such manifold is pseudosymmetric and satisfies other curvature conditions. We prove also an inverse theorem.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	943-954
Sayfa sayısı	12
Dergi	Demonstratio Mathematica
Hacim	34
Basın numarası	4
DOI'lar	https://doi.org/10.1515/dema-2001-0422
Yayın durumu	Yayınlandı - Eki 2001

Bibliyografik not

Publisher Copyright:
© 2001 Warsaw University. All rights reserved.

Belgeye Erişim

10.1515/dema-2001-0422

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On some family of generalized Einstein metric conditions",

abstract = "We prove that every Einstein manifold of dimension > 4 satisfies some pseudosymmetry type curvature condition. Basing on this fact we introduce a family of curvature conditions. We investigate non-Einstein manifolds satisfying one of these conditions. We prove that every such manifold is pseudosymmetric and satisfies other curvature conditions. We prove also an inverse theorem.",

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

year = "2001",

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doi = "10.1515/dema-2001-0422",

language = "English",

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T1 - On some family of generalized Einstein metric conditions

AU - Deszcz, Ryszard

AU - Hotloś, Marian

AU - Sentürk, Zerrin

PY - 2001/10

Y1 - 2001/10

N2 - We prove that every Einstein manifold of dimension > 4 satisfies some pseudosymmetry type curvature condition. Basing on this fact we introduce a family of curvature conditions. We investigate non-Einstein manifolds satisfying one of these conditions. We prove that every such manifold is pseudosymmetric and satisfies other curvature conditions. We prove also an inverse theorem.

AB - We prove that every Einstein manifold of dimension > 4 satisfies some pseudosymmetry type curvature condition. Basing on this fact we introduce a family of curvature conditions. We investigate non-Einstein manifolds satisfying one of these conditions. We prove that every such manifold is pseudosymmetric and satisfies other curvature conditions. We prove also an inverse theorem.

KW - Einstein manifold

KW - Generalized Einstein metric condition.

KW - Pseudosymmetry type manifold

UR - http://www.scopus.com/inward/record.url?scp=84977790718&partnerID=8YFLogxK

U2 - 10.1515/dema-2001-0422

DO - 10.1515/dema-2001-0422

M3 - Article

AN - SCOPUS:84977790718

SN - 0420-1213

VL - 34

SP - 943

EP - 954

JO - Demonstratio Mathematica

JF - Demonstratio Mathematica

IS - 4

ER -

On some family of generalized Einstein metric conditions

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap