Totally Umbilical Proper Slant and Hemislant Submanifolds of an LP-Cosymplectic Manifold

Abstract EN

In the present note, we study slant and hemislant submanifolds of an LP-cosymplectic manifold which are totally umbilical.

We prove that every totally umbilical proper slant submanifold M of an LP-cosymplectic manifold M¯ is either totally geodesic or if M is not totally geodesic in M¯ then we derive a formula for slant angle of M.

Also, we obtain the integrability conditions of the distributions of a hemi-slant submanifold, and then we give a result on its classification.