Baldi, Annalisa; Tesi, Maria Carla; Tripaldi, Francesca (2022). Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry. Advanced nonlinear studies, 22(1), pp. 484-516. De Gruyter 10.1515/ans-2022-0022
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In this article, we establish a Gaffney type inequality, in Wℓ,p -Sobolev spaces, for differential forms on sub-Riemannian contact manifolds without boundary, having bounded geometry (hence, in particular, we have in mind noncompact manifolds). Here, p∈]1,∞[ and ℓ=1,2 depending on the order of the differential form we are considering. The proof relies on the structure of the Rumin’s complex of differential forms in contact manifolds, on a Sobolev-Gaffney inequality proved by Baldi-Franchi in the setting of the Heisenberg groups and on some geometric properties that can be proved for sub-Riemannian contact manifolds with bounded geometry.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Tripaldi, Francesca |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
2169-0375 |
Publisher: |
De Gruyter |
Funders: |
[4] Swiss National Science Foundation ; [222] Horizon 2020 ; [UNSPECIFIED] University of Bologna, funds for selected research topics ; [UNSPECIFIED] GNAMPA of INdAM |
Language: |
English |
Submitter: |
Francesca Tripaldi |
Date Deposited: |
24 Oct 2022 15:59 |
Last Modified: |
05 Dec 2022 16:26 |
Publisher DOI: |
10.1515/ans-2022-0022 |
ArXiv ID: |
2203.13701 |
BORIS DOI: |
10.48350/174028 |
URI: |
https://boris.unibe.ch/id/eprint/174028 |
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