Ricci flow on open 3-manifolds and positive scalar curvature
| العنوان: | Ricci flow on open 3-manifolds and positive scalar curvature |
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| المؤلفون: | Sylvain Maillot, Gérard Besson, Laurent Bessières |
| المساهمون: | Institut Fourier (IF ), Université Grenoble Alpes [2016-2019] (UGA [2016-2019])-Centre National de la Recherche Scientifique (CNRS), Institut de Mathématiques et de Modélisation de Montpellier (I3M), Centre National de la Recherche Scientifique (CNRS)-Université Montpellier 2 - Sciences et Techniques (UM2)-Université de Montpellier (UM), ANR-07-BLAN-0251,FOG,Flots et opérateurs géométriques(2007), Institut Fourier (IF), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA), Université Montpellier 2 - Sciences et Techniques (UM2)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), ANR-07-BLAN-0251,BLANC,Flots et opérateurs géométriques(2007) |
| المصدر: | Geometry and Topology Geometry and Topology, Mathematical Sciences Publishers, 2011, 15 (2), pp.927-975. ⟨10.2140/gt.2011.15.927⟩ Geometry and Topology, Mathematical Sciences Publishers, 2011, pp.927-975 Geom. Topol. 15, no. 2 (2011), 927-975 |
| بيانات النشر: | HAL CCSD, 2011. |
| سنة النشر: | 2011 |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Pure mathematics, 53C21, 53C44, 01 natural sciences, Connected sum, 57M50, Ricci flow, [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT], 0103 physical sciences, FOS: Mathematics, Classification theorem, scalar curvature, 0101 mathematics, 53C21, 58J35, 57M50, Mathematics, three-dimensional topology, 010308 nuclear & particles physics, 010102 general mathematics, Manifold, 3-manifolds, Differential Geometry (math.DG), [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], Bounded function, Metric (mathematics), Geometry and Topology, Diffeomorphism, Mathematics::Differential Geometry, Scalar curvature |
| الوصف: | We show that an orientable 3-dimensional manifold M admits a complete riemannian metric of bounded geometry and uniformly pos- itive scalar curvature if and only if there exists a finite collection F of spherical space-forms such that M is a (possibly infinite) connected sum where each summand is diffeomorphic to S2xS1 or to some mem- ber of F. This result generalises G. Perelman's classification theorem for compact 3-manifolds of positive scalar curvature. The main tool is a variant of Perelman's surgery construction for Ricci flow. Comment: 65 pages |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 1465-3060 1364-0380 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af5d9f711d4cdd2622987bd6197feb27Test https://hal.archives-ouvertes.fr/hal-00445607Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....af5d9f711d4cdd2622987bd6197feb27 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14653060 13640380 |
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