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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-642-16286-2_11
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16285-5
Online ISBN: 978-3-642-16286-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)