Local collapsing, orbifolds, and geometrization

Local collapsing, orbifolds, and geometrizati ...
Bruce Kleiner, Bruce Kleiner
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Last edited by MARC Bot
December 21, 2022 | History

Local collapsing, orbifolds, and geometrization

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

Publish Date
Language
English
Pages
177

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Edition Availability
Cover of: Local collapsing, orbifolds, and geometrization
Local collapsing, orbifolds, and geometrization
2014, Société mathématique de France
in English

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Book Details


Table of Contents

Locally collapsed 3-manifolds --
Geometrization of three-dimensional orbifolds via Ricci flow.

Edition Notes

Includes bibliographical references.

In English; abstract also in French.

Published in
Paris
Series
Astérisque -- 365
Copyright Date
2014

Classifications

Library of Congress
QA671 .K64 2014, QA671.K64 L64 2014, QA1 .A82 no.365

The Physical Object

Pagination
177 pages
Number of pages
177

Edition Identifiers

Open Library
OL30823069M
ISBN 10
2856297951
ISBN 13
9782856297957
LCCN
2015382879
OCLC/WorldCat
903163347

Work Identifiers

Work ID
OL22913304W

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
December 21, 2022 Edited by MARC Bot import existing book
November 4, 2020 Created by MARC Bot Imported from Library of Congress MARC record