Measures invariant under the geodesic flow and their projections
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- by Craig J. Sutton PDF
- Proc. Amer. Math. Soc. 131 (2003), 2933-2936 Request permission
Abstract:
Let $S^{n}$ be the $n$-sphere of constant positive curvature. For $n \geq 2$, we will show that a measure on the unit tangent bundle of $S^{2n}$, which is even and invariant under the geodesic flow, is not uniquely determined by its projection to $S^{2n}$.References
- Livio Flaminio, Une remarque sur les distributions invariantes par les flots géodésiques des surfaces, C. R. Acad. Sci. Paris Sér. I Math. 315 (1992), no. 6, 735–738 (French, with English and French summaries). MR 1183813
- Anatole Katok, Gerhard Knieper, and Howard Weiss, Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows, Comm. Math. Phys. 138 (1991), no. 1, 19–31. MR 1108034
- Anthony W. Knapp, Representation theory of semisimple groups, Princeton Mathematical Series, vol. 36, Princeton University Press, Princeton, NJ, 1986. An overview based on examples. MR 855239, DOI 10.1515/9781400883974
Additional Information
- Craig J. Sutton
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48103
- Address at time of publication: Department of Mathematics, University of Pennsylvania, 209 South 33rd Street, Philadelphia, Pennsylvania 19104-6395
- MR Author ID: 707441
- ORCID: 0000-0003-2197-1407
- Email: cjsutton@math.upenn.edu
- Received by editor(s): October 1, 2001
- Published electronically: April 9, 2003
- Communicated by: Michael Handel
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2933-2936
- MSC (2000): Primary 53D25
- DOI: https://doi.org/10.1090/S0002-9939-03-07136-3
- MathSciNet review: 1974351