Description

Book Synopsis
Focuses on Ricci solitons, shedding light on their role in understanding singularity formation in Ricci flow and formulating surgery-based Ricci flow, which holds potential applications in topology.

Table of Contents
  • Ricci flow singularity formation
  • The Ricci soliton equation
  • The $2$-dimensional classification
  • Estimates for shrinking Ricci solitons
  • Classification of $3$-dimensional shrinkers
  • The Bryant soliton
  • Expanding and steady GRS and the flying wing
  • Brendle's theorem on the uniqueness of $3$-dimensional steadies
  • Geometric preliminaries
  • Analytic preliminaries
  • Bibliography
  • Index

Ricci Solitons in Low Dimensions

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    A Hardback by Bennett Chow

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      Book details

      Publisher American Mathematical Society
      Published 11/30/2023 12:00:00 AM
      ISBN-13 9781470474287
      978-1470474287
      ISBN-10 147047428X
      Also in:
      Topology

      Description

      Book Synopsis
      Focuses on Ricci solitons, shedding light on their role in understanding singularity formation in Ricci flow and formulating surgery-based Ricci flow, which holds potential applications in topology.

      Table of Contents
      • Ricci flow singularity formation
      • The Ricci soliton equation
      • The $2$-dimensional classification
      • Estimates for shrinking Ricci solitons
      • Classification of $3$-dimensional shrinkers
      • The Bryant soliton
      • Expanding and steady GRS and the flying wing
      • Brendle's theorem on the uniqueness of $3$-dimensional steadies
      • Geometric preliminaries
      • Analytic preliminaries
      • Bibliography
      • Index

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