On a Smooth Riemannian Space with Generalized 2–Recurrent Curvature Tensors

Abstract

M. C. Chaki and A. K. Roy introduced the notions of generalized 2-recurrent Riemannian manifold Later De and Konar, De and Pathak made further studied in this direction. In this paper, we have defined a type of generalized 2-recurrent Riemannian manifold and
investigated some results. We have also studies the nature of the recurrence parameter on generalized 2-recurrent Riemannian manifold. We have defined some interesting results on generalized conformally 2- recurrent, generalized conharmonically 2-recurrent and generalized projectively 2-recurrent Riemannian manifold