Affiliation:
1. Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran
Abstract
In this paper, we study the Ricci directional curvature defined by H. Akbar-Zadeh in Finsler geometry and obtain the formula of Ricci directional curvature for Randers metrics. Let F = α + β be a Randers metric on a manifold M, where [Formula: see text] is a Riemannian metric and β = biyi is a closed 1-form on M. We prove that F is a generalized Einstein metric if and only if it is a Berwald metric.
Publisher
World Scientific Pub Co Pte Lt
Subject
Physics and Astronomy (miscellaneous)
Reference11 articles.
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