The W-Functional and Local Noncollapsing

Ben Andrews*, Christopher Hopper

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

The F-functional provides a gradient flow formalism for the Ricci flow, discussed in Chapt. 10. We hope to be able to use this to understand the singularities of Ricci flow, but the F-functional is not yet enough to do this, because it does not behave well under the scaling transformations needed in the blow-up analysis.

Original languageEnglish
Title of host publicationThe Ricci Flow in Riemannian Geometry
Subtitle of host publicationA Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem
PublisherSpringer Verlag
Pages173-191
Number of pages19
ISBN (Print)9783642159664
DOIs
Publication statusPublished - 2011

Publication series

NameLecture Notes in Mathematics
Volume2011
ISSN (Print)0075-8434
ISSN (Electronic)1617-9692

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