Continuous primitives for higher degree differential forms in Euclidean spaces, Heisenberg groups and applications
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.
Authors
- Bruno Franchi (ORCID: https://orcid.org/0000-0002-6337-956X)
- Annalisa Baldi (ORCID: https://orcid.org/0000-0003-1487-967X)
- Pierre Pansu (ORCID: https://orcid.org/0000-0003-2383-6911)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université Paris-Saclay (FR)
- Laboratoire de Mathématiques d'Orsay (FR)
- University of Bologna (IT)
Publication Details
- Journal
- Communications in Contemporary Mathematics
- Published
- 2025-02-03
- DOI
- https://doi.org/10.1142/s0219199725500233
- Citations
- 1
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 1.50