Open AccessPeriodic points of latitudinal maps of the $m$-dimensional sphere
Author(s) -
Grzegorz Graff,
Michał Misiurewicz,
Piotr Nowak-Przygodzki
Publication year - 2016
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2016070
Subject(s) - iterated function , physics , mathematical analysis , geometry , combinatorics , mathematics
Let f be a smooth self-map of the m-dimensional sphere Sm. Under the assumption that f preserves latitudinal foliations with the fibres S1, we estimate from below the number of fixed points of the iterates of f. The paper generalizes the results obtained by Pugh and Shub and by Misiurewicz
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