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

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

Department of Mathematics Engineering

Dogus University

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

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	131-138
Number of pages	8
Journal	Annales Polonici Mathematici
Volume	101
Issue number	2
DOIs	https://doi.org/10.4064/ap101-2-3
Publication status	Published - 2011

Keywords

Concircular vector field
Conformally flat manifold
Pseudo-symmetric manifold
Sectional curvature
Semi-symmetric metric connection

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10.4064/ap101-2-3

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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}",

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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

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ER -

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

Abstract

Keywords

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