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.
Authors
- prof. dr hab. Grzegorz Graff link open in new tab ,
- Michał Misiurewicz link open in new tab ,
- Piotr Nowak-Przygodzki
Additional information
- DOI
- Digital Object Identifier link open in new tab 10.1080/10236198.2018.1449840
- Category
- Publikacja w czasopiśmie
- Type
- artykuł w czasopiśmie wyróżnionym w JCR
- Language
- angielski
- Publication year
- 2018
