ON GENERIC ROTATIONLESS DIFFEOMORPHISMS OF THE ANNULUS
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
19/04/2012
19/04/2012
2010
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| Resumo |
Let f be a C(r)-diffeomorphism of the closed annulus A that preserves the orientation, the boundary components and the Lebesgue measure. Suppose that f has a lift (f) over tilde to the infinite strip (A) over tilde which has zero Lebesgue measure rotation number. If the rotation number of f restricted to both boundary components of (f) over tilde is positive, then for such a generic f (r >= 16), zero is an interior point of its rotation set. This is a partial solution to a conjecture of P. Boyland. CNPq[301485/03-8] GNPq[304360/05-8] |
| Identificador |
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.138, n.3, p.1023-1031, 2010 0002-9939 http://producao.usp.br/handle/BDPI/16684 http://www.ams.org/journals/proc/2010-138-03/S0002-9939-09-10135-1/S0002-9939-09-10135-1.pdf |
| Idioma(s) |
eng |
| Publicador |
AMER MATHEMATICAL SOC |
| Relação |
Proceedings of the American Mathematical Society |
| Direitos |
openAccess Copyright AMER MATHEMATICAL SOC |
| Palavras-Chave | #Closed connected sets #omega limits #prime end theory #Kupka-Smale diffeomorphisms #Moser generic elliptic points #HOMOCLINIC POINTS #INSTABILITY #HOMEOMORPHISMS #RECURRENCE #REGIONS #Mathematics, Applied #Mathematics |
| Tipo |
article original article publishedVersion |
