English

On the structure of the singularity manifolds of dispersing billiards

Dynamical Systems 2007-05-23 v1

Abstract

In this paper we study the singularity manifolds of multidimensional strictly dispersing billiards and show that the proof of the Fundamental theorem for dispersing billiards remain valid for a dense set of finitely smooth scatterers.

Keywords

Cite

@article{arxiv.math/0505620,
  title  = {On the structure of the singularity manifolds of dispersing billiards},
  author = {Pavel Batchourine},
  journal= {arXiv preprint arXiv:math/0505620},
  year   = {2007}
}