CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Recurrent Geodesics in Flat Lorentz $3$-Manifolds

  Published:2004-09-01
 Printed: Sep 2004
  • Virginie Charette
  • William M. Goldman
  • Catherine A. Jones
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

Let $M$ be a complete flat Lorentz $3$-manifold $M$ with purely hyperbolic holonomy $\Gamma$. Recurrent geodesic rays are completely classified when $\Gamma$ is cyclic. This implies that for any pair of periodic geodesics $\gamma_1$, $\gamma_2$, a unique geodesic forward spirals towards $\gamma_1$ and backward spirals towards $\gamma_2$.
Keywords: geometric structures on low-dimensional manifolds, notions of recurrence geometric structures on low-dimensional manifolds, notions of recurrence
MSC Classifications: 57M50, 37B20 show english descriptions Geometric structures on low-dimensional manifolds
Notions of recurrence
57M50 - Geometric structures on low-dimensional manifolds
37B20 - Notions of recurrence
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/