1 citations · 1 across the 8 of their papers we have counts for
9 papers
A decomposition theorem for elliptic structures of minimal rank on compact Lie groups and applications
Guido Drei, Max Reinhold Jahnke
We show that every left-invariant elliptic structure of minimal rank on an odd-dimensional compact Lie group admits an algebraic decomposition analogous to those obtained by Pittie…
Cohomology of CR structures on compact Lie groups
Howard Jacobowitz, Max Reinhold Jahnke, Vinícius Novelli +1
We show that, under a division condition, the tangential Cauchy--Riemann cohomology of a compact Lie group with a left-invariant CR structure can be computed on a suitable maximal…
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…
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…
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…
Closed elliptic structures on compact semisimple Lie groups
Max Reinhold Jahnke
In this work, we prove that, under a topological condition, the cohomology associated with left-invariant elliptic structures on compact semisimple Lie groups can be computed using…
Levi-flat CR structures on compact Lie groups
Howard Jacobowitz, Max Reinhold Jahnke
Pittie [Pit88] proved that the Dolbeault cohomology of all left-invariant complex structures on compact Lie groups can be computed by looking at the Dolbeault cohomology induced on…
The cohomology of left-invariant elliptic involutive structures on compact Lie groups
Max Reinhold Jahnke
Inspired by the work of Chevalley and Eilenberg on the de Rham cohomology on compact Lie groups, we prove that, under certain algebraic and topological conditions, the cohomology a…
Top-degree solvability for hypocomplex structures and the cohomology of left-invariant involutive structures on compact Lie groups
Max Reinhold Jahnke
We use the theory of dual of Fréchet-Schwartz (DFS) spaces to establish a sufficient condition for top-degree solvability for the differential complex associated to a hypocomplex l…