2 papers
math.AP2026
-Hodge decomposition and global integral estimates on the Cartan group
Annalisa Baldi, Alessandro Rosa
The study of Sobolev and Poincaré inequalities for differential forms in Carnot groups and in the more general sub-Riemannian setting is still an open problem in its full generali…
math.AP2025
-Hodge Decomposition with Sobolev classes in Sub-Riemannian Contact Manifolds
Annalisa Baldi, Alessandro Rosa
Let . In this article we establish an -Hodge decomposition theorem on sub-Riemannian compact contact manifolds without boundary, related to the Rumin complex of di…