3 papers
math.AP2026
Real involutive systems on compact Lie groups
Gabriel Araújo, Igor A. Ferra, Max R. Jahnke +1
On a compact connected Lie group , we study the global solvability and the cohomology spaces of the differential complex associated with an essentially real involutive structure…
math.AP2024
Propagation of regularity for a class of systems of real vector fields on torus
Igor Ambo Ferra, Luís Antônio Carvalho dos Santos
We characterize the global hypoellipticity, almost hypoellipticity and solvability for a class of systems of real vector fields on the (n + 1)-dimensional torus as well as the same…
math.AP2020
Global solvability and propagation of regularity of sums of squares on compact manifolds
Gabriel Araújo, Igor A. Ferra, Luis F. Ragognette
We investigate global solvability, in the framework of smooth functions and Schwartz distributions, of certain sums of squares of vector fields defined on a product of compact Riem…