17 citations · 21 across the 6 of their papers we have counts for
7 papers
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…
Global analytic hypoellipticity and solvability of certain operators subject to group actions
Gabriel Araújo, Igor A. Ferra, Luis F. Ragognette
On , where is a compact real-analytic manifold and is a compact Lie group, we consider differential operators which are invariant by left translations on $G…
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…
Global hypoellipticity of sums of squares on compact manifolds
Gabriel Araújo, Igor A. Ferra, Luis F. Ragognette
In this work, we present necessary and sufficient conditions for an operator of the type sum of squares to be globally hypoelliptic on a product of compact Riemannian manifolds $T…
Computing cohomology spaces of left-invariant involutive structures on : examples
Gabriel Araújo
In these notes we study left-invariant involutive structures on , the most naïve non-commutative compact Lie group. We determine closedness of the range (in the smo…
Global regularity and solvability of left-invariant differential systems on compact Lie groups
Gabriel Araújo
We are interested in global properties of systems of left-invariant differential operators on compact Lie groups: regularity properties, properties on the closedness of the range a…
Periodic trajectory tracking for control-affine driftless systems on compact Lie groups
Gabriel Araújo
We treat the periodic trajectory tracking problem: given a periodic trajectory of a control-affine, left-invariant driftless system in a compact and connected Lie group and an…