On sectional curvature of a Riemannian manifold with semi-symmetric metric connection

Füsun Özen Zengin; S. Aynur Uysal; Sezgin Altay Demirbag

doi:10.4064/ap101-2-3

On sectional curvature of a Riemannian manifold with semi-symmetric metric connection

Matematik Bölümü

Dogus University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

12 Atıf (Scopus)

Özet

We prove that if the sectional curvature of an n-dimensional pseudosymmetric manifold with semi-symmetric metric connection is independent of the orientation chosen then the generator of such a manifold is gradient and also such a manifold is subprojective in the sense of Kagan.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	131-138
Sayfa sayısı	8
Dergi	Annales Polonici Mathematici
Hacim	101
Basın numarası	2
DOI'lar	https://doi.org/10.4064/ap101-2-3
Yayın durumu	Yayınlandı - 2011

Belgeye Erişim

10.4064/ap101-2-3

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On sectional curvature of a Riemannian manifold with semi-symmetric metric connection",

abstract = "We prove that if the sectional curvature of an n-dimensional pseudosymmetric manifold with semi-symmetric metric connection is independent of the orientation chosen then the generator of such a manifold is gradient and also such a manifold is subprojective in the sense of Kagan.",

keywords = "Concircular vector field, Conformally flat manifold, Pseudo-symmetric manifold, Sectional curvature, Semi-symmetric metric connection",

author = "Zengin, \{F{\"u}sun {\"O}zen\} and \{Aynur Uysal\}, S. and Demirbag, \{Sezgin Altay\}",

year = "2011",

doi = "10.4064/ap101-2-3",

language = "English",

volume = "101",

pages = "131--138",

journal = "Annales Polonici Mathematici",

issn = "0066-2216",

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

number = "2",

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TY - JOUR

T1 - On sectional curvature of a Riemannian manifold with semi-symmetric metric connection

AU - Zengin, Füsun Özen

AU - Aynur Uysal, S.

AU - Demirbag, Sezgin Altay

PY - 2011

Y1 - 2011

N2 - We prove that if the sectional curvature of an n-dimensional pseudosymmetric manifold with semi-symmetric metric connection is independent of the orientation chosen then the generator of such a manifold is gradient and also such a manifold is subprojective in the sense of Kagan.

AB - We prove that if the sectional curvature of an n-dimensional pseudosymmetric manifold with semi-symmetric metric connection is independent of the orientation chosen then the generator of such a manifold is gradient and also such a manifold is subprojective in the sense of Kagan.

KW - Concircular vector field

KW - Conformally flat manifold

KW - Pseudo-symmetric manifold

KW - Sectional curvature

KW - Semi-symmetric metric connection

UR - https://www.scopus.com/pages/publications/83655191899

U2 - 10.4064/ap101-2-3

DO - 10.4064/ap101-2-3

M3 - Article

AN - SCOPUS:83655191899

SN - 0066-2216

VL - 101

SP - 131

EP - 138

JO - Annales Polonici Mathematici

JF - Annales Polonici Mathematici

IS - 2

ER -

On sectional curvature of a Riemannian manifold with semi-symmetric metric connection

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

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