Topological properties of semi-slant submanifolds in Sasaki manifolds

Abstract

The geometry of semi-slant submanifolds in Sasaki manifolds will be investigated by using some cohomology groups and some remarkable forms associated to the Bott connection. We also obtain necessary conditions so that some even-dimensional cohomology groups of a semi-slant submanifold in a Sasaki manifold be non-trivial.