4 papers
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…
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…