Minimal diffeomorphism between hyperbolic surfaces with cone singularities

Reference : Minimal diffeomorphism between hyperbolic surfaces with cone singularities


	Document type :	E-prints/Working papers : Already available on another site
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/21784

Title :	Minimal diffeomorphism between hyperbolic surfaces with cone singularities
Language :	English
Author, co-author :	Toulisse, Jérémy [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	10-Nov-2014
Peer reviewed :	No
Keywords :	[en] minimal surfaces ; cone singularities ; hyperbolic geometry
Abstract :	[en] We prove the existence of a minimal diffeomorphism isotopic to the identity between two hyperbolic cone surfaces (Σ,g1) and (Σ,g2) when the cone angles of g1 and g2 are different and smaller than π. When the cone angles of g1 are strictly smaller than the ones of g2, this minimal diffeomorphism is unique.
Permalink :	http://hdl.handle.net/10993/21784
source URL :	http://arxiv.org/abs/1411.2656

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