Periods of morse-smale diffeomorphisms of S2

Juan Luis García Guirao; Jaume Llibre

doi:10.4064/cm110-2-10

Periods of morse-smale diffeomorphisms of S²

Juan Luis García Guirao, Jaume Llibre

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

9 Citations (Scopus)

Abstract

© Instytut Matematyczny PAN, 2008. 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.

Original language	English
Pages (from-to)	477-483
Journal	Colloquium Mathematicum
Volume	110
Issue number	2
DOIs	https://doi.org/10.4064/cm110-2-10
Publication status	Published - 1 Jan 2008

Keywords

Lefschetz fixed point theorem
Morse-Smale diffeomorphism
Set of periods
Sphere
Zeta function

Access to Document

10.4064/cm110-2-10

Cite this

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KW - Sphere

KW - Zeta function

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