Local collapsing, orbifolds, and geometrization / Bruce Kleiner and John Lott.
Material type:
TextSeries: Asterisque ; 365.Publication details: Paris : Societe mathematique de France, 2014.Description: 177 p. : illustrations ; 24 cmISBN: - 9782856297957
- 510=4 23 As853
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 510=4 As853 (Browse shelf(Opens below)) | Available | C26467 |
Browsing ISI Library, Kolkata shelves Close shelf browser (Hides shelf browser)
| 510=4 As853 Cocycles over partially hyperbolic maps / | 510=4 As853 Arithmetic geometry of toric varieties : | 510=4 As853 Travaux de Gabber sur l'uniformisation locale et la cohomologie etale des schemas quasi-excellents : | 510=4 As853 Local collapsing, orbifolds, and geometrization / | 510=4 As853 Fractional Sobolev inequalities : | 510=4 As853 Families of Berkovich spaces / | 510=4 As853 Parametrix for wave equations on a rough background III : |
Includes bibliographical references.
Locally collapsed 3-manifolds --
Geometrization of three-dimensional orbifolds via Ricci flow--
References.
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 publisher
In English; abstract also in French.
There are no comments on this title.
