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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Measures invariant under the geodesic flow and their projections


Author: Craig J. Sutton
Journal: Proc. Amer. Math. Soc. 131 (2003), 2933-2936
MSC (2000): Primary 53D25
Published electronically: April 9, 2003
MathSciNet review: 1974351
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Abstract | References | Similar Articles | Additional Information

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 $S^{2n}$.


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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
Email: cjsutton@math.upenn.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-03-07136-3
PII: S 0002-9939(03)07136-3
Keywords: Geodesic flows, differential geometry
Received by editor(s): October 1, 2001
Published electronically: April 9, 2003
Communicated by: Michael Handel
Article copyright: © Copyright 2003 American Mathematical Society