On Special Curvature Tensor in a Generalized 2-recurrent Smooth Riemannian Manifold

Hukum Singh; Rajeev Sinha

doi:10.56424/jts.v4i01.10424

On Special Curvature Tensor in a Generalized 2-recurrent Smooth Riemannian Manifold

Hukum Singh Department of Education in Science and Mathematics N.C.E.R.T., New Delhi-110016, India
Rajeev Sinha Department of Education in Science and Mathematics N.C.E.R.T., New Delhi-110016, India

DOI: https://doi.org/10.56424/jts.v4i01.10424

Keywords: Generalized 2-recurrent Smooth Riemannian Manifold, Einstein manifold, Curvature Tensor

Abstract

In this paper, we have discussed on a special type of curvature tensor in a smooth Riemannian manifold and have studied its cyclic and differentiable properties. We have also studied the 2-recurrence properties of the tensor S, T, F and H in Riemannian manifold as well as in an Einstein manifold.

Published

2007-06-30

Issue

Vol 4 No 01 (2010): Journal of The Tensor Society

Section

Reveiw Article

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