Totally umbilical proper slant and hemislant submanifolds of an LP-cosymplectic manifold (Q410420)

Summary: We study slant and hemi-slant 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 \(\overline M\) is either totally geodesic or, if \(M\) is not totally geodesic in \(\overline M\), 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.