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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on Anosov flows of non-compact Riemannian manifolds
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by Gerhard Knieper PDF
Proc. Amer. Math. Soc. 146 (2018), 3955-3959 Request permission

Abstract:

In this note we formulate a condition for complete non-compact Riemannian manifolds, which implies no conjugate points in case that the geodesic flow is Anosov with respect to the Sasaki metric.
References
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Additional Information
  • Gerhard Knieper
  • Affiliation: Faculty of Mathematics, Ruhr University Bochum, 44780 Bochum, Germany
  • MR Author ID: 103300
  • Email: gerhard.knieper@rub.de
  • Received by editor(s): September 22, 2017
  • Received by editor(s) in revised form: December 9, 2017
  • Published electronically: May 2, 2018
  • Additional Notes: This work was partially supported by the German Research Foundation (DFG), CRC TRR 191, Symplectic structures in geometry, algebra and dynamics.
  • Communicated by: Nimish Shah
  • © Copyright 2018 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 3955-3959
  • MSC (2010): Primary 37D40, 53C22
  • DOI: https://doi.org/10.1090/proc/14096
  • MathSciNet review: 3825848