Characterization of D-recurrent Finsler surfaces

In this paper, we study the class of two-dimensional Douglas-recurrent Finsler metrics, which we refer to as D-recurrent Finsler surfaces for simplicity. First, we derive the necessary and sufficient condition under which a Finsler surface is D-recurrent. Then, we show that a Kropina surface is D-recurrent if and only if it is a Douglas surface

کلیدواژه ها:

Douglas curvature ، D-recurrent metric ، Berwald curvature