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arXiv · 1711.11440

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

Mengqing Zhan·Linfeng Zhou
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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.

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Mengqing Zhan, Linfeng Zhou. 2017-11-29. The isoperimetric problem in the 2-dimensional Finsler space forms with k = 0. II. https://arxiv.org/abs/1711.11440

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