On Peixoto's Conjecture for Flows on Non-orientable 2-Manifolds
Dynamical Systems
2007-05-23 v2
Abstract
Let M be a non-orientable compact 2-manifold of genus 4. Then there exists a family of quasi-minimal, Kupka-Smale smooth vector fields X_r in M, depending smoothly on 0<=r<e, such that, for some flow box V in M of X_0, and for all 0<=r,v<e, (1) X_r restricted to V is a flow box; (2) If r is not equal to v, X_r is a C^\infty--twist perturbation of X_v localized in V; (3) X_r and X_v are topologically equivalent.
Cite
@article{arxiv.math/0312058,
title = {On Peixoto's Conjecture for Flows on Non-orientable 2-Manifolds},
author = {Carlos Gutierrez and Benito Pires},
journal= {arXiv preprint arXiv:math/0312058},
year = {2007}
}
Comments
13 pages