The Generalized Randers Change of the More Generalized m-th Root Metrics

A change of Finsler metric ̅ is called a generalized Randers change of , if ̅ , where is -vector in . The purpose of the present paper is devoted to studying the conditions for more generalized -th root metrics ̃ √ + and ̃ √ + , when is established generalized Randers change and are even numbers. Then, we prove that under these conditions generalized Randers metric reduces to Randers metric. Finally, in the special case, we will give conditions for more generalized ̃ ̃ , when is established Randers and conformal -changes for the case of are even numbers.

کلیدواژه ها:

m-th root metric ، more generalized m-th root metric ، generalized Randers change