Continuous primitives for higher degree differential forms in Euclidean spaces, Heisenberg groups and applications
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910381757169664 |
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| author | Baldi, Annalisa Franchi, Bruno Pansu, Pierre |
| author_facet | Baldi, Annalisa Franchi, Bruno Pansu, Pierre |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16602 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Continuous primitives for higher degree differential forms in Euclidean spaces, Heisenberg groups and applications Baldi, Annalisa Franchi, Bruno Pansu, Pierre Analysis of PDEs 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. |
| title | Continuous primitives for higher degree differential forms in Euclidean spaces, Heisenberg groups and applications |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2403.16602 |