مشخصات پژوهش

In this paper, conformal Kenmotsu manifolds are introduced. We consider CRhypersurfaces of a conformal Kenmotsu manifold whose shape operator is parallel, scalar, recurrent or Lie ξ -parallel. It is proved that if the Lee vector field of a conformal Kenmotsu manifold is tangent and normal to these type of CR-hypersurfaces then the CR-hypersurfaces are totally geodesic and totally umbilic, respectively. An example of a three-dimensional conformal Kenmotsu manifold is constructed for illustration that is not Kenmotsu.