The Final Argument

Ben Andrews; Christopher Hopper

doi:10.1007/978-3-642-16286-2_15

The Final Argument

Ben Andrews^*, Christopher Hopper

^*Corresponding author for this work

Mathematical Sciences Institute

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We now have all the ingredients in place to prove the following: Theorem 15.1 (Differentiable 1/4-Pinched Sphere Theorem). A compact, pointwise 1/4-pinched Riemannian manifold of dimension n≥4 is diffeomorphic to a spherical space form.

Original language	English
Title of host publication	The Ricci Flow in Riemannian Geometry
Subtitle of host publication	A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem
Publisher	Springer Verlag
Pages	259-269
Number of pages	11
ISBN (Print)	9783642159664
DOIs	https://doi.org/10.1007/978-3-642-16286-2_15
Publication status	Published - 2011

Publication series

Name	Lecture Notes in Mathematics
Volume	2011
ISSN (Print)	0075-8434
ISSN (Electronic)	1617-9692

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title = "The Final Argument",

abstract = "We now have all the ingredients in place to prove the following: Theorem 15.1 (Differentiable 1/4-Pinched Sphere Theorem). A compact, pointwise 1/4-pinched Riemannian manifold of dimension n≥4 is diffeomorphic to a spherical space form.",

keywords = "Compact Riemannian Manifold, Curvature Operator, Positive Scalar Curvature, Sectional Curvature, Tangent Cone",

author = "Ben Andrews and Christopher Hopper",

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KW - Curvature Operator

KW - Positive Scalar Curvature

KW - Sectional Curvature

KW - Tangent Cone

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The Final Argument

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