Transversal hypersurfaces of almost hyperbolic contact manifolds with a quarter symmetric non metric connection

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.