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Local collapsing, orbifolds, and geometrization / Bruce Kleiner; John Lott
Mitwirkende(r): Resource type: Ressourcentyp: BuchBuchSprache: Englisch, Französisch Reihen: Astérisque ; 365Verlag: Paris : Soc. Math. de France, 2014Beschreibung: 177 S. : graph. DarstISBN:- 9782856297957
- Parallelsacht.: Effondrements locaux, orbifold et géométrisation
- QA671
Inhalte:
Zusammenfassung: This volume has two papers, which can be read separately. The first paper concerns local collapsing in Riemannian geometry. We prove that a three-dimensional compact Riemannian manifold which is locally collapsed, with respect to a lower curvature bound, is a graph manifold. This theorem was stated by Perelman without proof and was used in his proof of the geometrization conjecture. The second paper is about the geometrization of orbifolds. A three-dimensional closed orientable orbifold, which has no bad suborbifolds, is known to have a geometric decomposition from work of Perelman in the manifold case, along with earlier work of Boileau-Leeb-Porti, Boileau-Maillot-Porti, Boileau-Porti, Cooper-Hodgson-Kerckhoff and Thurston. We give a new, logically independent, unified proof of the geometrization of orbifolds, using Ricci flow.--Provided by publisherPPN: PPN: 817038663
| Medientyp | Heimatbibliothek | Standort | Signatur | Status | Barcode | |
|---|---|---|---|---|---|---|
| Freihandbestand ausleihbar | Fachbibliothek Mathematik | Bibliothek / frei aufgestellt | Z 533-365.2014 | Verfügbar | 52004991090 |
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