Journal Articles Communications in Analysis and Geometry Year : 2019

Minimal diffeomorphism between hyperbolic surfaces with cone singularities

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.

Dates and versions

hal-03323231 , version 1 (20-08-2021)

Identifiers

Cite

Jérémy Toulisse. Minimal diffeomorphism between hyperbolic surfaces with cone singularities. Communications in Analysis and Geometry, 2019. ⟨hal-03323231⟩
36 View
0 Download

Altmetric

Share

  • More