Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection

doi:https://doi.org/10.7146/math.scand.a-15061

Open AccessArticle10.7146/math.scand.a-15061

Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection

Erol Yaşar,A. Ceylan Çöken,Ahmet Yücesan-2008-06-01-MATHEMATICA SCANDINAVICA

TL;DRAbstract

In this paper, we study lightlike hypersurfaces of a semi-Riemannian manifold admitting a semi-symmetric non-metric connection. We give the equations of Gauss and Codazzi. Then, we obtain conditions under which the Ricci tensor of a lightlike hypersurface is symmetric given that the ambient space is equipped with a semi-symmetric non-metric connection.

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In this paper, we study lightlike hypersurfaces of a semi-Riemannian manifold admitting a semi-symmetric non-metric connection. We give the equations of Gauss and Codazzi. Then, we obtain conditions under which the Ricci tensor of a lightlike hypersurface is symmetric given that the ambient space is equipped with a semi-symmetric non-metric connection.

Keywords

HypersurfaceMathematicsConnection (principal bundle)Metric connectionFundamental theorem of Riemannian geometryLevi-Civita connectionPure mathematicsMetric (unit)

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