Document Type : Original Article
Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran
A weakly Berwald metric is called a conformally closed weakly Berwald metric if for any conformal change remains a weakly Berwald metric. In this paper, we study the conformally closed weakly Berwald metrics and find the necessary and sufficient condition under which a weakly Berwald metric be conformally closed. We show that a Randers metric is a conformally closed weakly Berwald metric if and only if it is a Riemannian metric or the conformal transformation is homothety.