# The Randers $\beta$-change of More Generalized M-th Root Metrics

Volume 6, Issue 4, pp 305 - 310
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### Authors

Abolfazl Taleshian - Department of Mathematics,Faculty of Mathematical Sciences,University of Mazandaran,Babolsar,Iran. Dordi Mohamad Saghali - Department of Mathematics,University of Mazandaran,Mazandaran,Babolsar,Iran.

### Abstract

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.

### Keywords

• m-th root metric
• more generalized m-th root metric
• Randers $\beta$-change.

•  53C60

### References

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