On some submanifolds of a locally product manifold (Q1085817)

In this paper the author defines a cohomology class for each compact semi-invariant submanifold M of a locally product Riemannian manifold M' and uses this cohomology class to obtain a necessary condition for the semi-invariant submanifold to have certain non-vanishing cohomology groups. He also studies the stability of anti-invariant submanifolds in a locally product Riemannian manifold.