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In this paper, we study some properties of transversal hypersurfaces of a nearly trans-Sasakian manifold. Furthermore, we give some characterizations of totally geodesic regarding such manifolds. We also prove that if  M  is a transversal hypersurface of a nearly cosymplectic manifold  M ˜, equipped with a contact structure under the condition that a vector field  V  is parallel, then  M  is totally geodesic.

Transversal hypersurfaces with ( f , g , u , v ,λ)-structure of a nearly trans-Sasakian manifold