English

Isoperimetric regions in H^2 between parallel horocycles

Differential Geometry 2009-10-21 v2

Abstract

In this work we investigate the following isoperimetric problem in the hyperbolic plane: to find the regions of prescribed area with minimal perimeter between two parallel horocycles. We give an explicit and detailed description of all such regions.

Keywords

Cite

@article{arxiv.0906.4135,
  title  = {Isoperimetric regions in H^2 between parallel horocycles},
  author = {Marcio Fabiano da Silva},
  journal= {arXiv preprint arXiv:0906.4135},
  year   = {2009}
}

Comments

corrected reference

R2 v1 2026-06-21T13:16:39.446Z