{ "id": "1411.2656", "version": "v1", "published": "2014-11-10T23:15:47.000Z", "updated": "2014-11-10T23:15:47.000Z", "title": "Minimal diffeomorphism between hyperbolic surfaces with cone singularities", "authors": [ "Jérémy Toulisse" ], "categories": [ "math.GT", "math.DG" ], "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.", "revisions": [ { "version": "v1", "updated": "2014-11-10T23:15:47.000Z" } ], "analyses": { "subjects": [ "53A10", "30F60", "58E20" ], "keywords": [ "cone singularities", "hyperbolic surfaces", "cone angles", "minimal diffeomorphism isotopic", "hyperbolic cone surfaces" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1411.2656T" } } }