Global properties of systems of vector fields on compact Lie groups
Global properties of involutive systems on compact manifolds
| Full text | |
| Author(s): |
Araujo, G.
;
da Silva, P. L. Dattori
;
Victor, B. de Lessa
Total Authors: 3
|
| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRIC ANALYSIS; v. 33, n. 5, p. 30-pg., 2023-05-01. |
| Abstract | |
Let M be a compact, connected, orientable and real-analytic manifold; consider closed, real-valued, real-analytic 1-forms w(1), ... , w(m) on M and the differential complex over M x T-m naturally associated to the involutive system determined by them. In the real-analytic context, we completely characterize global solvability of the operators in its first (functional setting) and last (distributional setting) levels. Analogous results are obtained simultaneously in the Gevrey framework. (AU) | |
| FAPESP's process: | 18/14316-3 - Geometric theory of PDE and multidimensional complex analysis |
| Grantee: | Paulo Domingos Cordaro |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 18/12273-5 - Solvability of locally integrable structures |
| Grantee: | Gabriel Cueva Candido Soares de Araújo |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 21/03199-9 - Vector fields, sums of squares and Bers-Vekua equations: existence and regularity of solutions |
| Grantee: | Bruno de Lessa Victor |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |