Geodesic
Global solvability for involutive systems on the torus
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35N10, 32M25
Keywords: global solvability, involutive systems, complex vector fields, Liouville number 
@article{EJDE_2013__2013__a41,
     author = {de Medeira, Cleber},
     title = {Global solvability for involutive systems on the torus},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a41/}
}
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de Medeira, Cleber. Global solvability for involutive systems on the torus. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a41/