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


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Yasar E., Coken A. C., YÜCESAN A.

MATHEMATICA SCANDINAVICA, cilt.102, sa.2, ss.253-264, 2008 (SCI-Expanded) identifier identifier

Özet

In this paper, We Study lightlike hypersurfaces of a semi-Riemannian manifold admitting a semisymmetric 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.