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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
A class of globally analytic hypoelliptic operators on compact Lie groups
Max Reinhold Jahnke, Nicholas Braun Rodrigues
We obtain global analytic hypoellipticity for a class of differential operators that can be expressed as a zero-order perturbation of a sum of squares of vector fields with real-an…
math.AP2023★ 1 cited
Global solvability and cohomology of tube structures on compact manifolds
Gabriel Araújo, Igor A. Ferra, Max R. Jahnke +1
We introduce new techniques to study the differential complexes associated to tube structures on of corank , in which is a compact manifold and $\mat…