Minimal diffeomorphism between hyperbolic surfaces with cone singularities

Jérémy Toulisse

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arXiv · 1411.2656

Minimal diffeomorphism between hyperbolic surfaces with cone singularities

Jérémy Toulisse

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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.

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Jérémy Toulisse. 2014-11-10. Minimal diffeomorphism between hyperbolic surfaces with cone singularities. https://arxiv.org/abs/1411.2656

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