The isoperimetric problem in the 2-dimensional Finsler space forms with k = 0-Reference-Cited by-同舟云学术

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

Published:2019-01 Issue:01 Volume:30 Page:1950005
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

zhou Linfeng¹^ORCID

Affiliation:

1. Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, School of Mathematics, East China Normal University, Shanghai 200062, P. R. China

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X19500058

Reference12 articles.

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3. The Isoperimetric Problem for Minkowski Area

4. Cambridge Tracts in Mathematics 145;Chavel I.,2001

5. A class of Finsler metrics with isotropic S-curvature

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