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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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Nontoral pinched Anosov maps
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by David Fried PDF
Proc. Amer. Math. Soc. 82 (1981), 462-464 Request permission

Abstract:

We show Anosov maps satisfying a certain spectral property can arise on nilmanifolds of any nilpotent degree, settling a conjecture of Brin.
References
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  • A. I. Borevich and I. R. Shafarevich, Number theory, Pure and Applied Mathematics, Vol. 20, Academic Press, New York-London, 1966. Translated from the Russian by Newcomb Greenleaf. MR 0195803
  • M. I. Brin, Nonwandering points of Anosov diffeomorphisms, Dokl. Akad. Nauk SSSR 235 (1977), no. 4, 737–740 (Russian). MR 0501171
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  • A. I. Malcev, On a class of homogeneous spaces, Amer. Math. Soc. Translation 1951 (1951), no. 39, 33. MR 0039734
  • John N. Mather, Characterization of Anosov diffeomorphisms, Nederl. Akad. Wetensch. Proc. Ser. A 71 = Indag. Math. 30 (1968), 479–483. MR 0248879
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 82 (1981), 462-464
  • MSC: Primary 58F15
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0612740-8
  • MathSciNet review: 612740