Finite Horizon Riemann Structures and Ergodicity

Authors

Victor J. Donnay, Bryn Mawr CollegeFollow
Charles Pugh

Document Type

Article

Version

Publisher's PDF

Publication Title

Ergodic Theory and Dynamical Systems

Volume

24

Publication Date

2-2004

Abstract

In this paper we show that any surface in 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.

Publisher's Statement

© 2004 by Cambridge University Press. Available on publisher's site at http://journals.cambridge.org/abstract_S0143385703000269.

Citation

Donnay, Victor J., and Charles Pugh. "Finite Horizon Riemann Structures and Ergodicity." Ergodic Theory and Dynamical Systems 24 (2004): 89-106.

DOI

10.1017/S014338573000269