Some classification results on totally umbilical proper slant and hemi-slant submanifolds of a nearly Kenmotsu manifold

International Journal of Physical Sciences

Siraj Uddin¹ 

关键词: Slant submanifold;    hemi-slant submanifold;    totally umbilical;    minimal submanifold;    nearly Kenmotsu manifold.;   

DOI  :  10.5897/IJPS11.1262

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

This paper is concerned with the study of slant and hemi-slant submanifolds of a nearly Kenmotsu manifold. We prove that every totally umbilical proper slant submanifold of a nearly Kenmotsu manifold is totally geodesic and derive the integrability conditions of involved distributions in the definition of a hemi-slant submanifold. Finally, we obtain a classification theorem on a totally umbilical hemi-slant submanifold of a nearly Kenmotsu manifold.

【 授权许可】

CC BY