@inbook{afaaad1a61c04cd69b87ed1494a0be02,

title = "An Algebraic Identity for Curvature Operators",

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 B{\"o}hm 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 = "Curvature Operator, Curvature Tensor, Invariant Subspace, Sectional Curvature, Vector Bundle",

author = "Ben Andrews and Christopher Hopper",

note = "Publisher Copyright: {\textcopyright} 2011, Springer-Verlag Berlin Heidelberg.",

year = "2011",

doi = "10.1007/978-3-642-16286-2_12",

language = "English",

isbn = "9783642159664",

series = "Lecture Notes in Mathematics",

publisher = "Springer Verlag",

pages = "193--221",

booktitle = "The Ricci Flow in Riemannian Geometry",

address = "Germany",

}