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arxiv: 1711.11440 · v2 · pith:VPPA3LBXnew · submitted 2017-11-29 · 🧮 math.DG

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

classification 🧮 math.DG
keywords isoperimetricproblemareadimensionalfinslerspaceachievesauthor
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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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