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.
|Original language||English (US)|
|Number of pages||19|
|Journal||International Journal of Bifurcation and Chaos in Applied Sciences and Engineering|
|State||Published - Jan 1 1997|
ASJC Scopus subject areas
- Modeling and Simulation
- Applied Mathematics