English

Reverse isoperimetric inequality in two-dimensional Alexandrov spaces

Differential Geometry 2016-05-31 v1 Metric Geometry

Abstract

We prove a reverse isoperimetric inequality for domains homeomorphic to a disc with the boundary of curvature bounded below lying in two-dimensional Alexandrov spaces of curvature c\geqslant c. We also study the equality case.

Keywords

Cite

@article{arxiv.1605.09150,
  title  = {Reverse isoperimetric inequality in two-dimensional Alexandrov spaces},
  author = {Alexander Borisenko},
  journal= {arXiv preprint arXiv:1605.09150},
  year   = {2016}
}
R2 v1 2026-06-22T14:12:40.759Z