Article contents
Finite horizon Riemann structures and ergodicity
Published online by Cambridge University Press: 02 February 2004
Abstract
In this paper we show that any surface in $\mathbb{R}^3$ can be modified by gluing on small ‘focusing caps’ so that its geodesic flow becomes ergodic. A new concept, finite horizon cap geometry, is what makes the construction work.
- Type
- Research Article
- Information
- Copyright
- 2004 Cambridge University Press
- 3
- Cited by