Global solvability for involutive systems on the torus

In this article, we consider a class of involutive systems of n smooth vector fields on the torus of dimension n+1. We prove that the global solvability of this class is related to an algebraic condition involving Liouville forms and the connectedness of all sublevel and superlevel sets of the p...

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Bibliographic Details
Main Author: Cleber de Medeira
Format: Article
Language:English
Published: Texas State University 2013-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/244/abstr.html