Local collapsing, orbifolds, and geometrization / Bruce Kleiner; John Lott

By:

Kleiner, Bruce [aut]

Contributor(s):

Lott, John, 1959- [aut]

Resource type: Ressourcentyp: BuchBookLanguage: English, French Series: Astérisque ; 365Publisher: Paris : Soc. Math. de France, 2014Description: 177 S. : graph. DarstISBN:

9782856297957

Other title:

Parallelsacht.: Effondrements locaux, orbifold et géométrisation

Subject(s):

Additional physical formats: Erscheint auch als: Local collapsing, orbifolds, and geometrization. Online-Ausgabe Paris : Société Mathématique de France, 2014. 1 Online-Ressource (177 Seiten)MSC: MSC: *53C21 | 53-02 | 53C20 | 53C23 | 53C44 | 57M50RVK: RVK: SI 832LOC classification:

QA671

DOI: DOI: 10.24033/ast.936

Contents:

Summary: 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

Holdings ( 1 )

Holdings
Item type	Home library	Shelving location	Call number	Status	Date due	Barcode	Item holds
Freihandbestand ausleihbar	Fachbibliothek Mathematik	Bibliothek / frei aufgestellt	Z 533-365.2014	Available		52004991090

Total holds: 0