TY - JOUR
AU - Taleshian, Abolfazl
AU - Saghali, Dordi Mohamad
PY - 2013
TI - The Randers \(\beta\)-change of More Generalized M-th Root Metrics
JO - Journal of Mathematics and Computer Science
SP - 305 - 310
VL - 6
IS - 4
AB - A change of Finsler metric \(F(x,y)\rightarrow \bar{F}(x,y)\) is called a Randers \(\beta\)-change of \(F\), if \(\bar{F}(x,y) = F(x,y) + \beta(x,y)\), where \(\beta(x,y)=b_i(x)y^i\) is a one-form on a smooth manifold \(M\). The purpose of the present paper is devoted to studying the conditions for more generalized m-th root metrics \(\tilde{F}_1= \sqrt{A_1^{\frac{2}{m_1}}+B_1+C_1}\) and \(\tilde{F}_1= \sqrt{A_2^{\frac{2}{m_2}}+B_2+C_2}\), when is established Randers \(\beta\)-change.
SN - ISSN 2008-949X
UR - http://dx.doi.org/10.22436/jmcs.06.04.06
DO - 10.22436/jmcs.06.04.06
ID - Taleshian2013
ER -