English

About an isoperimetric property of $\lambda$-convex lunes on the Lobachevsky plane

Differential Geometry 2014-02-13 v1 Optimization and Control

Abstract

We give a sharp lower bound on the area of a domain that can be enclosed by a closed embedded λ\lambda-convex curve of a given length on the Lobachevsky plane.

Keywords

Cite

@article{arxiv.1402.2688,
  title  = {About an isoperimetric property of $\lambda$-convex lunes on the Lobachevsky plane},
  author = {Kostiantyn Drach},
  journal= {arXiv preprint arXiv:1402.2688},
  year   = {2014}
}