A class of totally umbilical slant submanifolds of Lorentzian para-Sasakian manifolds

International Journal of Physical Sciences

Khushwant Singh¹ 

关键词: Slant submanifold;    totally umbilical;    totally geodesic;    minimal submanifold;    Lorentzian para (LP)-Sasakian manifold.;   

DOI  :  10.5897/IJPS11.868

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

In the present paper, we study slant submanifolds of a Lorentzian para (LP)-Sasakian manifold. We consideras a totally umbilical proper slant submanifold of an LP-Sasakian manifold and show that every totally umbilical proper slant submanifold of an LP-Sasakian manifold is either totally geodesic or if it is not totally geodesic in, then we derive a formula of its slant angle and give an example.

【 授权许可】

CC BY