TRANSVERSAL HYPERSURFACES OF ALMOST HYPERBOLIC CONTACT MANIFOLDS WITH A QUARTER SYMMETRIC NON METRIC CONNECTION

Year 2013, Volume: 3 Issue: 1, 108 - 116, 01.06.2013

Shamsur Rahman

Abstract

Transversal hypersurfaces of trans hyperbolic contact manifolds endowed with a quarter symmetric non metric connection are studied. It is proved that transversal hypersurfaces of almost hyperbolic contact manifold with a quarter symmetric non metric connection admits an almost product structure and each transversal hypersurfaces of almost hyperbolic contact metric manifold with a quarter symmetric non metric connection admits an almost product semi-Riemannian structure. The fundamental 2- form on the transversal hypersurfaces of cosymplectic hyperbolic manifold and α, 0 trans hyberbolic Sasakian manifold with hyperbolic f, g, u, v, α -structure are closed. It is also proved that transversal hypersurfaces of trans hyperbolic contact manifold with a quarter symmetric non metric connection admits a product structure. Some properties of transversal hypersurfaces with a quarter symmetric non metric connection are proved.

Keywords

Hypersurfaces, Quarter Symmetric semi-metric connection, Quasi-sasakianmanifold, Gass and Weingarten equations

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