Volume and distance comparison theorems for sub-Riemannian manifolds
| hal.structure.identifier | Department of Mathematics | |
| dc.contributor.author | BAUDOIN, Fabrice | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BONNEFONT, Michel | |
| dc.contributor.author | GAROFALO, Nicola | |
| dc.contributor.author | MUNIVE, Isidro H. | |
| dc.date.accessioned | 2024-04-04T02:22:49Z | |
| dc.date.available | 2024-04-04T02:22:49Z | |
| dc.date.created | 2012-11-01 | |
| dc.date.issued | 2014 | |
| dc.identifier.issn | 0022-1236 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189679 | |
| dc.description.abstractEn | In this paper we study global distance estimates and uniform local volume estimates in a large class of sub-Riemannian manifolds. Our main device is the generalized curvature dimension inequality introduced by the first and the third author in \cite{BG1} and its use to obtain sharp inequalities for solutions of the sub-Riemannian heat equation. As a consequence, we obtain a Gromov type precompactness theorem for the class of sub-Riemannian manifolds whose generalized Ricci curvature is bounded from below in the sense of \cite{BG1}. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | Volume and distance comparison theorems for sub-Riemannian manifolds | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Géométrie différentielle [math.DG] | |
| dc.subject.hal | Mathématiques [math]/Géométrie métrique [math.MG] | |
| dc.identifier.arxiv | 1211.0221 | |
| bordeaux.journal | Journal of Functional Analysis | |
| bordeaux.page | 3919-3924 | |
| bordeaux.volume | 141 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 11 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00779393 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00779393v1 | |
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