Generalised Recurrent Spaces

Abstract

The generalised recurrent spaces have been discussed in this paper. As holomorphic sectional curvature of a Kaehlerian space plays an important role in its geometry, the notion of generalised recurrent spaces has not been considered identically the same as in Riemannian geometry but has been modified in a sense to involve the above mention holomorphic sectional curvature. In different articles of this paper we have studied Ricci-recurrent, generalised Ricci-recurrent and generalised Ricci-2-recurrent Kaehlerian spaces.