Totally umbilical proper slant submanifolds of para-Kenmotsu manifold
Author
Siddesha, M.S.
Bagewadi, C.S.
Nirmala, D.
Full text
http://revistas.ufro.cl/ojs/index.php/cubo/article/view/215510.4067/S0719-06462019000200041
Abstract
In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of the submanifold lies in the invariant normal subbundle.