Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613893 | Journal of Mathematical Analysis and Applications | 2016 | 23 Pages |
Abstract
We consider a class of involutive systems in Tn+1Tn+1 associated with a closed 1-form defined on the torus TnTn. We prove that, under a geometric condition, the global solvability of this class is equivalent to a diophantine condition involving Liouville forms and the connectedness of all sublevel and superlevel sets of a global primitive associated with the system.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Adalberto P. Bergamasco, Cleber de Medeira, Alexandre Kirilov, Sérgio L. Zani,