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Periodic Points on Nilmanifolds

  • Minoru Nakaoka
Part of the Progress in Mathematics book series (PM, volume 14)

Abstract

Shub and Sullivan [13] proves that every C1-map f : M → M of a compact smooth manifold has infinitely many periodic points if the Lefschetz numbers L(fk), k = 1,2,..., are unbounded. This is not generally true if f is a continuous map, and even if f is a homeo-morphism (see [11]).

Keywords

Periodic Point Coset Space Lefschetz Number Fixed Point Index Compact Smooth Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1981

Authors and Affiliations

  • Minoru Nakaoka
    • 1
  1. 1.Osaka UniversityToyonaka, Osaka 560Japan

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