The isoperimetric problem in the 2-dimensional Finsler space forms with k = 0. II

Abstract

This paper is a continuation of the second author's previous work. We investigate the isoperimetric problem in the 2-dimensional Finsler space form $(F_B,B^2(1))$ with $k=0$ by using the Holmes-Thompson area and prove that the circle centered the origin achieves the local maximum area of the isoperimetric problem.

arXiv admin note: substantial text overlap with arXiv:1705.03400