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 - TY - JOUR TI - On the asymmetrical metric in the four-space of general relativity AU - G. Randers JO - Phys. Rev. PY - 1941 DA - 1941// VL - (2) 59 ID - Randers1941 ER - TY - JOUR TI - On Finsler spaces with Randers metric and special forms of important tensors AU - M. Matsumoto JO - J. Math. Kyoto Univ. PY - 1974 DA - 1974// VL - 14 ID - Matsumoto1974 ER - TY - JOUR TI - On Finsler spaces with metric \(L = \sqrt[m]{a_{i_1i_2...i_m}y^{i_1}y^{i_2}...y^{i_m}}\) AU - H. Shimada JO - Tensor(N.S) PY - 1979 DA - 1979// VL - 33 ID - Shimada1979 ER - TY - JOUR TI - On conformal transformation of Finsler spaces with m-th root metric AU - B. N. Prasad AU - A. K. Dwivedi JO - Indian J. pure appl. Math. PY - 2002 DA - 2002// VL - 33(6) ID - Prasad2002 ER - TY - BOOK TI - Kropina change of mth root metric and its conformal transformation Bull AU - A. Srivastava AU - P. Arora PB - of Calcutta Mathematical Society PY - 2011 DA - 2011// CY - 103(3) ID - Srivastava2011 ER -