Description

Book Synopsis


Trade Review
In the introduction the authors give a good outline of the proof so the reader can catch the spirit of such a complex proof. In the course of proving the conjecture, the authors apply very difficult tools reviewed in the book. They give a good survey on Ricci flows with surgery on 3-dimensional manifolds and they discuss in details the properties of the Hausdorff–Gromov distance and the theory of Alexandrov spaces." - János Kincses, Acta Sci. Math.

Table of Contents
  • Introduction
  • Geometric and analytic results for Ricci flow with surgery
  • Ricci flow with surger
  • Limits as t??
  • Local results valid for large time
  • Proofs of the three propositions
  • Locally volume collapsed 3-manifolds
  • Introduction to part II
  • The collapsing theorem
  • Overview of the rest of the argument
  • Basics of Gromov-Hausdorff convergence
  • Basics of Alexandrov spaces
  • 2-dimensional Alexandrov spaces
  • 3-dimensional analogues
  • The global result
  • The equivariant case
  • The equivariant case
  • Bibliography
  • Glossary of symbols
  • Index

The Geometrization Conjecture

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    Order before 4pm tomorrow for delivery by Mon 22 Jun 2026.

    A Hardback by John Morgan, Gang Tian

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      View other formats and editions of The Geometrization Conjecture by John Morgan

      Publisher: MP-AMM American Mathematical
      Publication Date: 5/30/2014 12:00:00 AM
      ISBN13: 9780821852019, 978-0821852019
      ISBN10: 0821852019

      Description

      Book Synopsis


      Trade Review
      In the introduction the authors give a good outline of the proof so the reader can catch the spirit of such a complex proof. In the course of proving the conjecture, the authors apply very difficult tools reviewed in the book. They give a good survey on Ricci flows with surgery on 3-dimensional manifolds and they discuss in details the properties of the Hausdorff–Gromov distance and the theory of Alexandrov spaces." - János Kincses, Acta Sci. Math.

      Table of Contents
      • Introduction
      • Geometric and analytic results for Ricci flow with surgery
      • Ricci flow with surger
      • Limits as t??
      • Local results valid for large time
      • Proofs of the three propositions
      • Locally volume collapsed 3-manifolds
      • Introduction to part II
      • The collapsing theorem
      • Overview of the rest of the argument
      • Basics of Gromov-Hausdorff convergence
      • Basics of Alexandrov spaces
      • 2-dimensional Alexandrov spaces
      • 3-dimensional analogues
      • The global result
      • The equivariant case
      • The equivariant case
      • Bibliography
      • Glossary of symbols
      • Index

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