%0 Journal Article
%T The Generalized Randers Change of the More Generalized m-th Root Metrics
%A Abolfazl Taleshian
%A Dordi Mohamad Saghali
%J International Journal of Mechatronics, Electrical and Computer Technology
%D 2013
%I Austrian E-Journals of Universal Scientific Organization
%X A change of Finsler metric F(x,y)★F  (x,y) is called a generalized Randers change of F, if F  (x,y)=F(x,y)+b_i (x,y)y^i, where b_i (x,y) is h-vector in (M,F). The purpose of the present paper is devoted to studying the conditions for more generalized m-th root metrics F  _1=〔(ーA_1―^(2/m_1 )+B_1 )+ C_1 and F  _2=〔(ーA_2―^(2/m_2 )+B_2 )+ー C―_2, when is established generalized Randers change and m_1,m_2 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 F  _1,F  _2, when is established Randers and conformal β-changes for the case of m_1,m_2 are even numbers.
%K m-th root metric
%K more generalized m-th root metric
%K generalized Randers change
%U http://aeuso.org/Vol.3/Vol.3(9),%20Oct,%202013/8%20The%20generalized%20Randers%20change%20of%20the%20more%20generalized%20m.pdf