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

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 Turkey English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Annales Polonici Mathematici, volume 101, pages 131-138 (issn: 0066-2216, eissn: 1730-6272,

Copyright policy )

Authors: Özen Zengin, Füsun; Uysal, Samiye Aynur; Altay Demirbağ, Sezgin;

doi: 10.4064/ap101-2-3

handle: 11376/1401

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

- Summary
- Subjects
- Metrics

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.

Country

Turkey

Related Organizations

Doğuş University
Turkey
Istanbul Technical University
Turkey

Keywords

Sectional Curvature, Semi - Symmetric Metric Connection, Conformally Flat Manifold, Pseudo - Symmetric Manifold, Concircular Vector Field

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	7
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average