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

2019/01/01 by Linfeng Zhou, Linfeng zhou · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows

paper · doi:10.1142/s0129167x19500058

openalex publication_date 2019/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26

Abstract

In this paper, the isoperimetric problem in the 2-dimensional Finsler space form [Formula: see text] with [Formula: see text] 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.

Citations

• Projective spherically symmetric Finsler metrics with constant flag curvature in R n
• On the classification of projectively flat Finsler metrics with constant flag curvature

Cited by

• On isoperimetric problem in 2-dimensional Randers space

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