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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