dc.contributor.author | Baudoin, Fabrice | |
dc.contributor.author | Grong, Erlend | |
dc.contributor.author | Rizzi, Luca | |
dc.contributor.author | Vega-Molino, Gianmarco | |
dc.date.accessioned | 2023-04-27T12:41:54Z | |
dc.date.available | 2023-04-27T12:41:54Z | |
dc.date.created | 2022-11-14T13:31:47Z | |
dc.date.issued | 2022 | |
dc.identifier.issn | 0926-2245 | |
dc.identifier.uri | https://hdl.handle.net/11250/3065356 | |
dc.description.abstract | With a view toward sub-Riemannian geometry, we introduce and study H-type foliations. These structures are natural generalizations of K-contact geometries which encompass as special cases K-contact manifolds, twistor spaces, 3K-contact manifolds and H-type groups. Under an horizontal Ricci curvature lower bound on these structures, we prove a sub-Riemannian diameter upper bounds and first eigenvalue estimates for the sub-Laplacian. Then, using a result by Moroianu-Semmelmann [38], we classify the H-type foliations that carry a parallel horizontal Clifford structure. Finally, we prove an horizontal Einstein property and compute the horizontal Ricci curvature of these spaces in codimension more than 2. | en_US |
dc.description.sponsorship | Under embargo until: 2024-10-12 | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier | en_US |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no | * |
dc.title | H-type foliations | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | acceptedVersion | en_US |
dc.rights.holder | Copyright 2022 Elsevier | en_US |
dc.source.articlenumber | 101952 | en_US |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |
dc.identifier.doi | 10.1016/j.difgeo.2022.101952 | |
dc.identifier.cristin | 2073553 | |
dc.source.journal | Differential geometry and its applications | en_US |
dc.identifier.citation | Differential geometry and its applications. 2022, 85, 101952. | en_US |
dc.source.volume | 85 | en_US |