Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BESSIÈRES, Laurent | |
| hal.structure.identifier | Université Grenoble Alpes [UGA] | |
| hal.structure.identifier | Institut Fourier [IF] | |
| dc.contributor.author | BESSON, Gérard | |
| hal.structure.identifier | Institut Montpelliérain Alexander Grothendieck [IMAG] | |
| dc.contributor.author | MAILLOT, Sylvain | |
| hal.structure.identifier | Department of Mathematics - Princeton University | |
| dc.contributor.author | MARQUES, Fernando | |
| dc.date.accessioned | 2024-04-04T02:35:54Z | |
| dc.date.available | 2024-04-04T02:35:54Z | |
| dc.date.issued | 2020-10-09 | |
| dc.identifier.issn | 1435-9855 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190682 | |
| dc.description.abstractEn | We prove that the moduli space of complete Riemannian metrics of bounded geometry and uniformly positive scalar curvature on an orientable 3-manifold is path-connected. This generalises the main result of the fourth author [Mar12] in the compact case. The proof uses Ricci flow with surgery as well as arguments involving performing infinite connected sums with control on the geometry. | |
| dc.language.iso | en | |
| dc.publisher | European Mathematical Society | |
| dc.subject.en | Scalar curvature | |
| dc.subject.en | Ricci flow | |
| dc.subject.en | open manifolds | |
| dc.subject.en | 3-manifolds | |
| dc.title.en | Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.4171/jems/1008 | |
| dc.subject.hal | Mathématiques [math]/Géométrie différentielle [math.DG] | |
| bordeaux.journal | Journal of the European Mathematical Society | |
| bordeaux.page | 153 - 184 | |
| bordeaux.volume | 23 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03945317 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03945317v1 | |
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