A note on transversal hypersurfaces of almost hyperbolic contact manifolds (Q1026937)

Transversal hypersurfaces of trans hyperbolic contact manifolds are studied. The authors prove that transversal hypersurfaces of almost hyperbolic contact manifold admit an almost product structure and that each transversal hypersurface of an almost hyperbolic contact metric manifold admits an almost product semi-Riemannian structure. The fundamental 2-form on the transversal hypersurfaces of cosymplectic hyperbolic manifold and \((\alpha, 0)\) trans hyperbolic Sasakian manifold with hyperbolic \((f,g,u,v,\lambda)\)-structure are closed. It is also proved that transversal hypersurfaces of a trans hyperbolic contact manifold admit a product structure. Some properties of transversal hypersurfaces are proved.