CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  Publicationsjournals
Publications        
Search results

Search: All articles in the CJM digital archive with keyword Ligon-Shaaf regularization

  Expand all        Collapse all Results 1 - 1 of 1

1. CJM 2012 (vol 66 pp. 760)

Hu, Shengda; Santoprete, Manuele
Regularization of the Kepler Problem on the Three-sphere
In this paper we regularize the Kepler problem on $S^3$ in several different ways. First, we perform a Moser-type regularization. Then, we adapt the Ligon-Schaaf regularization to our problem. Finally, we show that the Moser regularization and the Ligon-Schaaf map we obtained can be understood as the composition of the corresponding maps for the Kepler problem in Euclidean space and the gnomonic transformation.

Keywords:Kepler problem on the sphere, Ligon-Shaaf regularization, geodesic flow on the sphere
Category:70Fxx

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