The isoperimetric problem in the 2-dimensional Finsler space forms with k = 0. I
classification
🧮 math.DG
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isoperimetricproblemareadimensionalfinslerspaceachievesbusemann-hausdorff
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In this paper, the isoperimetric problem in the 2-dimensional Finsler space form $(F_B,B^2(1))$ with k = 0 by using the Busemann-Hausdorff area is investigated. We prove that the circle centered the origin achieves the local maximum area of the isoperimetric problem.
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