A+ CATEGORY SCIENTIFIC UNIT

Periods of Morse–Smale diffeomorphisms of $\mathbb S^2$

Volume 110 / 2008

Juan Luis García Guirao, Jaume Llibre Colloquium Mathematicum 110 (2008), 477-483 MSC: Primary 58F20. DOI: 10.4064/cm110-2-10

Abstract

The aim of this paper is to describe the set of periods of a Morse–Smale diffeomorphism of the two-dimensional sphere according to its homotopy class. The main tool for proving this is the Lefschetz fixed point theory.

Authors

  • Juan Luis García GuiraoDepartamento de Matemática Aplicada y Estadística
    Universidad Politécnica de Cartagena
    C/Paseo Alfonso XIII
    30203 Cartagena, Spain
    e-mail
  • Jaume LlibreDepartament de Matemàtiques
    Universitat Autònoma de Barcelona
    Bellaterra, 08193 Barcelona, Catalunya, Spain
    e-mail

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