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

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.