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Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.83.

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Flots d’Anosov à distributions stable et instable différentiables
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by Yves Benoist, Patrick Foulon and François Labourie
J. Amer. Math. Soc. 5 (1992), 33-74
DOI: https://doi.org/10.1090/S0894-0347-1992-1124979-1

Abstract:

We describe which Anosov flows on compact manifolds have ${C^\infty }$ stable and unstable distributions and a contact canonical $1$-form: up to finite coverings and up to a ${C^\infty }$ change of parameters, each of them is isomorphic to the geodesic flow on (the unit tangent bundle of) a compact locally symmetric space of strictly negative curvature.
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Bibliographic Information
  • © Copyright 1992 American Mathematical Society
  • Journal: J. Amer. Math. Soc. 5 (1992), 33-74
  • MSC: Primary 58F17; Secondary 58F15
  • DOI: https://doi.org/10.1090/S0894-0347-1992-1124979-1
  • MathSciNet review: 1124979