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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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
    Also in:
    Topology

    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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