On some connections on locally product Riemannian manifolds - part II

Nevena Pušić

In the first part of this paper, we considered some kinds of connections (the members of ``projective class") in almost product spaces. The main purpose of considering such connections was the extension of the Riemannian connection from a submanifold of a Riemannian manifold to the whole space. We used the methodology of almost product spaces for it. For two of them, there exist invariant tensors. For the holomorphically projective connection, this invariant tensor is well-known. Here we calculate the invariant tensor for a product semi-symmetric connection and give a proof that there does not exist a curvature or Ricci type invariant for the mirror connection.