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.
机构:
Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA
AGH Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, PolandAuburn Univ, Dept Math & Stat, Auburn, AL 36849 USA