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Geodesic Flow on Quotients of the Hyperbolic Plane

In: Ergodic Theory

Author

Listed:
  • Manfred Einsiedler

    (ETH Zurich, Departement Mathematik)

  • Thomas Ward

    (University of East Anglia, School of Mathematics)

Abstract

Having developed the language and basic technical toolbox of ergodic theory in earlier chapters, we begin our analysis of actions on locally homogeneous spaces by studying the geodesic flow on hyperbolic surfaces. Since we do not assume any prior knowledge of Lie theory or differential geometry, the material needed is introduced here. As an application, the geodesic flow is used to give another proof of ergodicity for the Gauss measure from Chapter 3.

Suggested Citation

  • Manfred Einsiedler & Thomas Ward, 2011. "Geodesic Flow on Quotients of the Hyperbolic Plane," Springer Books, in: Ergodic Theory, chapter 0, pages 277-330, Springer.
    • Handle: RePEc:spr:sprchp:978-0-85729-021-2_9
    DOI: 10.1007/978-0-85729-021-2_9
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