Geometric filling curves on surfaces

Reference : Geometric filling curves on surfaces


	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/10993/30051

Title :	Geometric filling curves on surfaces
Language :	English
Author, co-author :	Basmajian, Ara [> >]
	Parlier, Hugo [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
	Souto, Juan [> >]
Publication date :	1-Oct-2016
Peer reviewed :	Yes
Keywords :	[en] Mathematics - Geometric Topology ; Mathematics - Differential Geometry
Abstract :	[en] This note is about a type of quantitative density of closed geodesics on closed hyperbolic surfaces. The main results are upper bounds on the length of the shortest closed geodesic that $\varepsilon$-fills the surface.
Permalink :	http://hdl.handle.net/10993/30051
Other URL :	http://esoads.eso.org/abs/2016arXiv161008404B
Commentary :	12 pages, 5 figures
source URL :	https://arxiv.org/abs/1610.08404

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Open access	Filling2017-02-16.pdf		Author preprint	202.54 kB	View/Open

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