Lightlike Hypersurfaces of a Semi-Riemannian Product Manifold and Quarter-Symmetric Nonmetric Connections

Erol Kılıç and Oğuzhan Bahadır

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-17

Abstract:

We study lightlike hypersurfaces of a semi-Riemannian product manifold. We introduce a class of lightlike hypersurfaces called screen semi-invariant lightlike hypersurfaces and radical anti-invariant lightlike hypersurfaces. We consider lightlike 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:178390

DOI: 10.1155/2012/178390

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