Continuous primitives for higher degree differential forms in Euclidean spaces, Heisenberg groups and applications
Annalisa Baldi, Bruno Franchi, Pierre Pansu · Communications in Contemporary Mathematics · 2025
It is shown that higher degree exact differential forms on compact Riemannian [Formula: see text]-manifolds possess continuous primitives whose uniform norm is controlled by their [Formula: see text] norm. A contact sub-Riemannian analogue is proven, with differential forms replaced with Rumin differential forms.