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

Nesip Aktan, Ozgur Boyacıoglu Kalkan


We study lightlike hypersurface of a semi-Riemannian manifold admitting the Ricci quartersymmetric
reccurent non-metric connection. We have proved that on lightlike hypersurfaces the connection induced from Ricci quarter-symmetric reccurent non-metric connection is symmetric but not metric connection. We give the equations of Gauss and Codazzi. Also, we obtain conditions on Ricci tensor of a lightlike hypersurface to be symmetric given that
the ambient space is equipped with a Ricci quarter-symmetric reccurent non-metric connection.


lightlike hypersurface, Ricci quarter-symmetric metric connection.

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