On weakly symmetric and weakly Ricci symmetric warped product manifolds

Abstract

Listen

Translate article

This paper is concerned with some results on weakly symmetric and weakly Ricci symmetric warped product manifolds. We prove the necessary and su-ci- ent condition for a warped product manifold to be weakly symmetric and weakly Ricci symmetric. On the basis of these results two proper examples of warped product weakly symmetric and weakly Ricci symmetric manifolds are presented.