Global properties of systems of vector fields on compact Lie groups
Global properties of involutive systems on compact manifolds
Solvability and hypoellipticity of first order partial differential operators and...
| Full text | |
| Author(s): |
Araujo, G.
;
Dattori da Silva, P. L.
;
Victor, B. de Lessa
Total Authors: 3
|
| Document type: | Journal article |
| Source: | MATHEMATISCHE ANNALEN; v. N/A, p. 26-pg., 2022-07-18. |
| Abstract | |
Given M a compact, connected and orientable, real-analytic manifold, and closed, real- valued, real-analytic 1-forms omega 1, ..., omega(m) on M, we characterize the global analytic hypoellipticity of the first operator featuring in the differential complex over M x T-m naturally associated to an involutive system of vector fields determined by them. Global Gevrey hypoellipticity is determined simultaneously. (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: | 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 |
| 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 |