On generalized semisymmetric Riemannian manifolds

Abstract

There are several generalizations of the concept of semi-symmetric Riemannian manifolds. In the present paper, we consider some special types of generalized semi-symmetric Riemannian manifolds with positive or negative defined curvature operator or sectional curvature. As applications of our theory we prove some propositions about semi-symmetric, Ricci-semi-symmetric and birecurrent Riemannian manifolds.