Skip to main content

An Algebraic Identity for Curvature Operators

  • Chapter
  • First Online:
The Ricci Flow in Riemannian Geometry

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

  • 2934 Accesses

Abstract

In this chapter and the next we look at one of the most important recent developments in the theory of Ricci flow: The work of Böhm and Wilking [BW08] which gives a method for producing whole families of preserved convex sets for the Ricci flow from a given one. This remarkable new method has broken through what was an enormous barrier to further applications of Ricci flow: In particular the proof of the differentiable sphere theorem relies heavily on this work.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ben Andrews .

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Andrews, B., Hopper, C. (2011). An Algebraic Identity for Curvature Operators. 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_12

Download citation

Publish with us

Policies and ethics