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An Algebraic Identity for Curvature Operators

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

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.

Keywords

  • Vector Bundle
  • Sectional Curvature
  • Invariant Subspace
  • Curvature Tensor
  • Curvature Operator

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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). 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

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