FLOWS WITHOUT WANDERING POINTS ON COMPACT CONNECTED SURFACES


Autoria(s): COBO, Milton; GUTIERREZ, Carlos; LLIBRE, Jaume
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

18/04/2012

18/04/2012

2010

Resumo

Given a compact 2 dimensional manifold M we classify all continuous flows phi without wandering points on M. This classification is performed by finding finitely many pairwise disjoint open phi-invariant subsets {U(1), U(2), ..., U(n)} of M such that U(i=1)(n) (U(i)) over bar = M and each U(i) is either a suspension of an interval exchange transformation, or a maximal open cylinder made up of closed trajectories of phi.

CAPES-MECD[071/04]

CAPES-MECD[HBP2003-0017]

CNPq, Brazil[470957/2006-9]

CNPq, Brazil[306328/2006-2]

MCYT/FEDER[MTM2008-03437]

CIRIT grant[2009SGR 410]

Identificador

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.362, n.9, p.4569-4580, 2010

0002-9947

http://producao.usp.br/handle/BDPI/15924

http://www.ams.org/journals/tran/2010-362-09/S0002-9947-10-05113-5/S0002-9947-10-05113-5.pdf

Idioma(s)

eng

Publicador

AMER MATHEMATICAL SOC

Relação

Transactions of the American Mathematical Society

Direitos

openAccess

Copyright AMER MATHEMATICAL SOC

Palavras-Chave #Interval exchange transformation #flows in compact surfaces #wandering sets #TRANSFORMATIONS #Mathematics
Tipo

article

original article

publishedVersion