Proceedings of the American Mathematical Society

Author(s): Carlos Gutierrez; Benito Pires
Journal: Proc. Amer. Math. Soc. 133 (2005), 1063-1074.
MSC (2000): Primary 34D30, 37E05, 37E35; Secondary 37C20
Posted: November 3, 2004
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Abstract: Contrary to the case of vector fields on orientable compact

-manifolds, there is a smooth vector field

on a non-orientable compact

-manifold with a dense orbit (and therefore without closed orbits) whose phase portrait -up to topological equivalence- remains intact under a one-parameter family of twist perturbations localized in a flow box of

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 34D30, 37E05, 37E35, 37C20

Carlos Gutierrez
Affiliation: Departamento de Matemática, Institituo de Ciências Matemáticas e de Computaçâo, Universidade de São Paulo, Av. do Trabalhador São Carlense, 400, Centro, CEP 13560-970 São Carlos - SP, Brazil
Email: gutp@icmc.usp.br

Benito Pires
Affiliation: Departamento de Matemáticas, Universidad Autonoma de Barcelona, Edificio C, Bellaterra, Cerdanyola del Valles, Spain
Email: bpires@icmc.usp.br

DOI: 10.1090/S0002-9939-04-07687-7
PII: S 0002-9939(04)07687-7
Received by editor(s): November 2, 2003
Posted: November 3, 2004
Additional Notes: The first author was supported in part by Pronex/CNPq/MCT grant number 66.2249/1997-6
The second author was supported by Fapesp grant number 01/04598-0
Communicated by: Michael Handel
Copyright of article: Copyright 2004, American Mathematical Society

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