Shub’s conjecture for smooth longitudinal maps of S^m

Grzegorz Graff; Michał Misiurewicz; Piotr Nowak-Przygodzki

doi:10.1080/10236198.2018.1449840

Shub’s conjecture for smooth longitudinal maps of S^m

Abstract

Let f be a smooth map of the m-dimensional sphere Sm to itself, preserving the longitudinal foliation. We estimate from below the number of fixed points of the iterates of f , reduce Shub’s conjecture for longitudinal maps to a lower dimensional classical version, and prove the conjecture in case m = 2 and in a weak form for m = 3.

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artykuł w czasopiśmie wyróżnionym w JCR

Published in:

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS no. 24, pages 1044 - 1054,
ISSN: 1023-6198

Language:

English

Publication year:

2018

Bibliographic description:

Graff G., Misiurewicz M., Nowak-Przygodzki P.: Shub’s conjecture for smooth longitudinal maps of S^m// JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. -Vol. 24, nr. 7 (2018), s.1044-1054

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