Simple geodesics on a punctured surface

2005/06/29 by Chaim Goodman--Strauss, Goodman--Strauss, Chaim, Yo'av Rieck +1
Mathematics · #51M10 #57M60 #FOS: Mathematics #Geometric Topology (math.GT) #Metric Geometry (math.MG) #math.GT #math.MG #msc:51M10 #msc:57M60

paper · pdf · doi:10.48550/arxiv.math/0506583

A pdf version and a higher quality ps version are avalable at http://comp.uark.edu/~strauss/papers 12 pages, 10 color figures (viewable in gray scale)

arxiv created 2005/06/29 · arxiv updated 2009/12/01

Abstract

We give a new proof of McShane's classification of simple cuspidal geodesics, using simple equivariant methods in the hyperbolic plane.

Related

• Short closed geodesics on cusped hyperbolic surfaces
• A geometric property of closed geodesics on hyperbolic surfaces
• Simple curves on surfaces
• The shortest non-simple closed geodesics on hyperbolic surfaces
• Simple closed geodesics in cusped hyperbolic 3-manifolds