English

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

Differential Geometry 2017-12-04 v2

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 (FB,B2(1))(F_B, B^2(1)) with k=0k=0 by using the Holmes-Thompson area and prove that the circle centered the origin achieves the local maximum area of the isoperimetric problem.

Keywords

Cite

@article{arxiv.1711.11440,
  title  = {The isoperimetric problem in the 2-dimensional Finsler space forms with k = 0. II},
  author = {Mengqing Zhan and Linfeng Zhou},
  journal= {arXiv preprint arXiv:1711.11440},
  year   = {2017}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1705.03400