Minimal diffeomorphism between hyperbolic surfaces with cone singularities

Jérémy Toulisse

Minimal diffeomorphism between hyperbolic surfaces with cone singularities

Geometric Topology 2015-03-19 v2 Differential Geometry

Authors: Jérémy Toulisse

Abstract

We prove the existence of a minimal diffeomorphism isotopic to the identity between two hyperbolic cone surfaces $(\Sigma,g_1)$ and $(\Sigma,g_2)$ when the cone angles of $g_1$ and $g_2$ are different and smaller than $\pi$ . When the cone angles of $g_1$ are strictly smaller than the ones of $g_2$ , this minimal diffeomorphism is unique.

Keywords

minimal surfaces hyperbolic surfaces diffeomorphism groups

Cite

@article{arxiv.1411.2656,
  title  = {Minimal diffeomorphism between hyperbolic surfaces with cone singularities},
  author = {Jérémy Toulisse},
  journal= {arXiv preprint arXiv:1411.2656},
  year   = {2015}
}

Related papers

View all related →