Global properties of systems of vector fields on compact Lie groups
Global properties of involutive systems on compact manifolds
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Paulo - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; v. 371, n. 7, p. 5157-5178, APR 1 2019. |
| Web of Science Citations: | 1 |
| Abstract | |
This work continues a previous study by Hounie and Zugliani on the global solvability of a locally integrable structure of tube type and a corank one, considering a linear partial differential operator L associated with a real analytic closed 1-form defined on a real analytic closed n-manifold. We deal now with a general complex form and complete the characterization of the global solvability of L. In particular, we state a general theorem, encompassing the main result of Hounie and Zugliani. As in Hounie and Zugliani's work, we are also able to characterize the global hypoellipticity of L and the global solvability of Ln-1-the last nontrivial operator of the complex when M is orientable-which were previously considered by Bergamasco, Cordaro, Malagutti, and Petronilho in two separate papers, under an additional regularity assumption on the set of the characteristic points of L. (AU) | |
| FAPESP's process: | 14/23748-3 - Involutive systems and global solvability |
| Grantee: | Giuliano Angelo Zugliani |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 12/03168-7 - Geometric theory of PDE and several complex variables |
| Grantee: | Jorge Guillermo Hounie |
| Support Opportunities: | Research Projects - Thematic Grants |