Embedded Surfaces with Ergodic Geodesic Flows

Author:

Burns Keith1,Donnay Victor J.1

Affiliation:

1. Northwestern University and Bryn Mawr College, Bryn Mawr, PA 19010-2899, USA

Abstract

Following ideas of Osserman, Ballmann and Katok, we construct smooth surfaces with ergodic, and indeed Bernoulli, geodesic flow that are isometrically embedded in R3. These surfaces can have arbitrary genus and can be made analytic.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

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