Global solvability for involutive systems on the torus

Autor: Cleber de Medeira
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2013, Iss 244,, Pp 1-8 (2013)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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 primitive of a certain 1-form associated with the system.
Databáze: Directory of Open Access Journals