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The\(\mathcal{W}\)-Functional and Local Noncollapsing

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2011)

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.

Keywords

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

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Correspondence to Ben Andrews .

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© 2011 Springer-Verlag Berlin Heidelberg

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Andrews, B., Hopper, C. (2011). The\(\mathcal{W}\)-Functional and Local Noncollapsing. In: The Ricci Flow in Riemannian Geometry. Lecture Notes in Mathematics(), vol 2011. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16286-2_11

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