LOWER BOUNDS FOR THE SPECTRAL GAP AND AN EXTENSION OF THE BONNET-MYERS THEOREM
| dc.contributor.author | BONNEFONT, Michel | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | OUHABAZ, El Maati | |
| dc.date.accessioned | 2024-04-04T02:43:39Z | |
| dc.date.available | 2024-04-04T02:43:39Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191347 | |
| dc.description.abstractEn | On a fairly general class of Riemannian manifolds M, we prove lower estimates in terms of the Ricci curvature for the spectral bound (when M has infinite volume) and for the spectral gap (when M has finite volume) for the Laplace-Beltrami operator. As a byproduct of our results we obtain an extension of the Bonnet-Myers theorem on the compactness of the manifold. We also prove lower bounds for the spectral gap for Ornstein-Uhlenbeck type operators on weighted manifolds. As an application we prove lower bounds for the spectral gap of perturbations of some radial measures on R n . | |
| dc.language.iso | en | |
| dc.subject.en | Schrödinger operators | |
| dc.subject.en | Hodge-de Rham Laplacians | |
| dc.subject.en | the spectral bound | |
| dc.subject.en | the spectral gap | |
| dc.subject.en | Ornstein-Uhlenbeck type operators | |
| dc.subject.en | perturbations of radial measures. Contents | |
| dc.title.en | LOWER BOUNDS FOR THE SPECTRAL GAP AND AN EXTENSION OF THE BONNET-MYERS THEOREM | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| dc.identifier.arxiv | 2112.03542 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-03467350 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03467350v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BONNEFONT,%20Michel&OUHABAZ,%20El%20Maati&rft.genre=preprint |
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