Kenmotsu manifold

In this paper, we discuss some geometric properties of almost contact metric submersions involving symplectic manifolds. We show that this is obtained if the total space is an b-almost Kenmotsu manifold.

11p danhdanh27 07-01-2019 15 2   Download

he purpose of this paper is to study anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds. Several fundamental results in this respect are proved. The integrability of the distributions and the geometry of foliations are investigated.

13p danhdanh27 07-01-2019 20 2   Download

In this paper, lightlike hypersurfaces of indefinite Kenmotsu space form are studied. Some characterizations of non-existence of lightlike hypersurfaces of indefinite Kenmotsu space form are given.

13p danhdanh27 07-01-2019 17 1   Download

In this paper we have obtained a general existence as well as uniqueness theorem for slant immersions into a Kenmotsu-space form. The purpose of the present paper is to establish a general existence and uniqueness theorem for slant immersions in Kenmotsu-space forms.

17p danhdanh27 07-01-2019 20 1   Download

In this paper, we discuss some geometric properties of almost contact metric submersions involving symplectic manifolds. We show that the structures of quasi-K-cosymplectic and quasi-Kenmotsu manifolds are related to (1, 2) - symplectic structures. For horizontally submersions of contact CR submanifolds of quasi-K-cosymplectic and quasiKenmotsu manifolds, we study the principal characteristics and prove that their total spaces are CR-product.

18p tuongvidanh 06-01-2019 16 2   Download

In this paper, we research the existence or non-existence of warped product semi-slant submanifolds in Kenmotsu manifolds. Consequently, we see that there are no proper warped product semi-slant submanifolds in Kenmotsu manifolds such that totally geodesic and totally umbilical submanifolds of warped product are proper semi-slant and invariant (or anti-invariant), respectively.

8p tuongvidanh 06-01-2019 17 3   Download

This paper deals with the relative nullity distributions of lightlike hypersurfaces of indefinite Kenmotsu space forms, tangent to the structure vector field. Theorems on parallel vector fields are obtained. We give characterization theorems for the relative nullity distributions as well as for Einstein, totally contact umbilical and flat lightlike hypersurfaces.

21p tuongvidanh 06-01-2019 25 2   Download

In the present paper, we study warped product semi-slant submanifolds of a Kenmotsu manifold. We obtain some results on the existence of such type warped product submanifolds of a Kenmotsu manifold with an example.

12p tuongvidanh 06-01-2019 18 2   Download