Lightlike hypersurfaces of a semi-Riemannian product manifold and quarter-symmetric nonmetric connections
type: Item
instance of: scholarly article
title: Lightlike hypersurfaces of a semi-Riemannian product manifold and quarter-symmetric nonmetric connections
zbMATH Open document ID: 1250.53015
DOI: 10.1155/2012/178390
author: Erol Kiliç
author: Oǧuzhan Bahadır
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2012-10-16T00:00:00Z
review text: Summary: We study light-like hypersurfaces of a semi-Riemannian product manifold. We introduce a class of light-like hypersurfaces called screen semi-invariant light-like hypersurfaces and radical anti-invariant light-like hypersurfaces. We consider light-like hypersurfaces with respect to a quarter-symmetric nonmetric connection which is determined by the product structure. We give some equivalent conditions for integrability of distributions with respect to the Levi-Civita connection of semi-Riemannian manifolds and the quarter-symmetric nonmetric connection, and we obtain some results.
Mathematics Subject Classification ID: 53B25
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 6093793
zbMATH Keywords: semi-invariant light-like hypersurfaces
zbMATH Keywords: Levi-Civita connection
zbMATH Keywords: semi-Riemannian manifolds
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/178390
OpenAlex ID: W2148083244
Wikidata QID: Q58705573
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description: scientific article; zbMATH DE number 6093793