Curvature-dimension estimates for the Laplace-Beltrami operator of a totally geodesic foliation
| 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.date.accessioned | 2024-04-04T03:18:41Z | |
| dc.date.available | 2024-04-04T03:18:41Z | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 0362-546X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194433 | |
| dc.description.abstractEn | We study Bakry-Emery type estimates for the Laplace-Beltrami operator of a totally geodesic foliation. In particular, we are interested in situations for which the Γ2 operator may not be bounded from below but the horizontal Bakry-Emery curvature is. As we prove it, under a bracket generating condition, this weaker condition is enough to imply several functional inequalities for the heat semigroup including the Wang-Harnack inequality and the log-Sobolev inequality. We also prove that, under proper additional assumptions, the generalized curvature dimension inequality introduced by Baudoin-Garofalo is uniformly satisfied for a family of Riemannian metrics that converge to the sub-Riemannian one. | |
| dc.description.sponsorship | Aux frontières de l'analyse Harmonique - ANR-12-BS01-0013 | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | Curvature-dimension estimates for the Laplace-Beltrami operator of a totally geodesic foliation | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.na.2015.06.025 | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| dc.subject.hal | Mathématiques [math]/Géométrie différentielle [math.DG] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | 1412.3777 | |
| bordeaux.journal | Nonlinear Analysis: Theory, Methods and Applications | |
| bordeaux.page | 159-169 | |
| bordeaux.volume | 126 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01138611 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01138611v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Nonlinear%20Analysis:%20Theory,%20Methods%20and%20Applications&rft.date=2015&rft.volume=126&rft.spage=159-169&rft.epage=159-169&rft.eissn=0362-546X&rft.issn=0362-546X&rft.au=BAUDOIN,%20Fabrice&BONNEFONT,%20Michel&rft.genre=article |
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