Kenmotsu space forms

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

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