It is shown that higher degree exact differential forms on compact Riemannian n-manifolds possess continuous primitives whose uniform norm is controlled by their L^n norm. A contact sub-Riemannian analogue is proven, with differential forms replaced with Rumin differential forms.
Baldi, A., Franchi, B., Pansu, P. (2025). Continuous primitives for higher degree differential forms in Euclidean spaces, Heisenberg groups and applications. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 27(10), 1-53 [10.1142/s0219199725500233].
Continuous primitives for higher degree differential forms in Euclidean spaces, Heisenberg groups and applications
Baldi, Annalisa;Franchi, Bruno;Pansu, Pierre
2025
Abstract
It is shown that higher degree exact differential forms on compact Riemannian n-manifolds possess continuous primitives whose uniform norm is controlled by their L^n norm. A contact sub-Riemannian analogue is proven, with differential forms replaced with Rumin differential forms.File in questo prodotto:
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