Hostname: page-component-848d4c4894-2xdlg Total loading time: 0 Render date: 2024-07-08T04:51:57.008Z Has data issue: false hasContentIssue false
  • English
  • Français

A structure theorem for foliations on non-compact 2-manifolds

Published online by Cambridge University Press:  03 March 2005

AMÉRICO LÓPEZ
AMÉRICO LÓPEZ
Affiliation:
Universidade de São Paulo, FFCLRP-DFM, Av. Bandeirantes 3900, 14040-901, Ribeirão Preto, SP, Brazil (e-mail: amlopez@ffclrp.usp.br)
Get access Rights & Permissions [Opens in a new window]

Abstract

In this work, singular orientable foliations which admit non-trivial recurrent leaves on 2-manifolds of finite or infinite genus are considered. A structure theorem for such foliations is given. The theorem is similar to Gutierrez's structure theorem (C. Gutierrez. Smoothing continuous flows on 2-manifolds and recurrences. Ergod. Th. & Dynam. Sys.6 (1986), 17–44) for flows on compact surfaces.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 25 , Issue 3 , June 2005 , pp. 893 - 912
Copyright
2005 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)