Four-dimensional conformally flat Berwald and Landsberg spaces

Abstract

The problem of conformal transformation and conformal atness of Finsler spaces has been studied in [6], [16], [17], [20], [21]. Recently, Prasad et. al [19] have studied three dimensional conformally at Landsberg and Berwald spaces and have obtained some important results. The purpose of the present paper is to extend the idea of conformal change to four dimensional Finsler spaces and find the suitable conditions under which a four dimensional conformally at Landsberg space becomes a Berwald space. ? 2018 Indian Mathematical Society.