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ArticleOriginal scientific text

Title

Minimal periods of maps of rational exterior spaces

Authors 1

Affiliations

  1. Faculty of Applied Physics and Mathematics, Technical University of Gdańsk, G. Narutowicza 11/12, 80-952 Gdańsk

Abstract

The problem of description of the set Per(f) of all minimal periods of a self-map f:X → X is studied. If X is a rational exterior space (e.g. a compact Lie group) then there exists a description of the set of minimal periods analogous to that for a torus map given by Jiang and Llibre. Our approach is based on the Haibao formula for the Lefschetz number of a self-map of a rational exterior space.

Keywords

ENG
periodic points, minimal period, cohomology algebra, Lefschetz number, transversal map

Bibliography

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Fundamenta Mathematicae
2000/163/2
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Pages:
99-115
Main language of publication
English
Received
1998-06-15
Accepted
1999-11-26
Published
2000
Exact and natural sciences