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The W-Functional and Local Noncollapsing

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Date

2011

Authors

Andrews, Ben
Hopper, Christopher

Journal Title

Journal ISSN

Volume Title

Publisher

Springer Verlag

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Research Projects

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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.

Description

Keywords

Closed Manifold, Closed Riemannian Manifold, Injectivity Radius, Renormalisation Group Equation, Ricci Flow

Citation

URI

https://hdl.handle.net/1885/733798113

Collections

ANU Research Publications

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Type

Book chapter

Book Title

The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem

Entity type

Publication

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DOI

10.1007/978-3-642-16286-2_11

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