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 | 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 | CODA MARQUES, Fernando | |
| dc.date.accessioned | 2024-04-04T03:08:10Z | |
| dc.date.available | 2024-04-04T03:08:10Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193507 | |
| 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 generalizes 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.title.en | Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Géométrie différentielle [math.DG] | |
| dc.identifier.arxiv | 1711.02457 | |
| 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-01628796 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01628796v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BESSI%C3%88RES,%20Laurent&BESSON,%20G%C3%A9rard&MAILLOT,%20Sylvain&CODA%20MARQUES,%20Fernando&rft.genre=preprint |
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