Semi-invariant warped product submanifolds of cosymplectic manifolds

Abstract

In this article, we obtain the necessary and sufficient conditions that the semiinvariant submanifold to be a locally warped product submanifold of invariant and anti-invariant submanifolds of a cosymplectic manifold in terms of canonical structures T and F. The inequality and equality cases are also discussed for the squared norm of the second fundamental form in terms of the warping function. © 2012 Khan et al.