A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds

الملخص EN

We study slant submanifolds of a cosymplectic manifold.

It is shown that a totally umbilical slant submanifold M of a cosymplectic manifold M̅ is either an anti-invariant submanifold or a 1−dimensional submanifold.

We show that every totally umbilical proper slant submanifold of a cosymplectic manifold is totally geodesic.