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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Expansive partially hyperbolic diffeomorphisms with one-dimensional center
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by Martin Sambarino and José Vieitez;
Proc. Amer. Math. Soc. 152 (2024), 3867-3880
DOI: https://doi.org/10.1090/proc/16845
Published electronically: July 26, 2024

Abstract:

We give sufficient conditions for an expansive partially hyperbolic diffeomorphism with one-dimensional center to be (topologically) Anosov.
References
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Bibliographic Information
  • Martin Sambarino
  • Affiliation: CMAT, Facultad de Ciencias, Universidad de la República-Uruguay, Uruguay
  • MR Author ID: 645492
  • Email: samba@cmat.edu.uy
  • José Vieitez
  • Affiliation: DMEL, CenUR Literal Norte, Universidad de la República-Uruguay, Uruguay
  • Email: jvieitez@litoralnorte.udelar.edu.uy
  • Received by editor(s): July 26, 2023
  • Received by editor(s) in revised form: February 5, 2024, and March 5, 2024
  • Published electronically: July 26, 2024
  • Additional Notes: The first author was partially supported by CSIC-Universidad de la República-Uruguay project Estructuras topológicas de sistemas parcialmente hiperbóicos y aplicaciones.
  • Communicated by: Katrin Gelfert
  • © Copyright 2024 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 152 (2024), 3867-3880
  • MSC (2020): Primary 37D20, 37D30, 37C70
  • DOI: https://doi.org/10.1090/proc/16845
  • MathSciNet review: 4781980