Open Access Open Access  Restricted Access Subscription or Fee Access

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

Nesip Aktan, Ozgur Boyacıoglu Kalkan

Abstract


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.

Keywords


lightlike hypersurface, Ricci quarter-symmetric metric connection.

Full Text:

PDF

Refbacks

  • There are currently no refbacks.


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.