On isoperimetric problem in 2-dimensional Randers space

Abstract

In this paper, we prove that the circle centered at the origin in $B^2\left({\delta }_{\xi }\right)$ is a proper maximum of the isoperimetric problem in a 2-dimensional Randers space endowed with 3-parameter family of non-locally projectively flat Finsler metrics of non-constant isotropic S-curvature.