Embedded surfaces with ergodic geodesic flows

Keith H Burns*, Victor J. Donnay

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1509-1527
Number of pages19
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume7
Issue number7
DOIs
StatePublished - Jan 1 1997

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics

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