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 (FB, B2(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.

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