#30: Comparison Geometry
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# MSRI Publications -- Volume 30

## Comparison Geometry

### Edited by
Karsten Grove and
Peter Petersen

### Contents and Downloadable Files

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Preface, by **Karsten Grove and Peter Petersen**

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Injectivity Radius Estimates and Sphere Theorems, by
**Uwe Abresch and Wolfgang T. Meyer**, 1-47

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Scalar Curvature and Geometrization Conjectures for 3-Manifolds, by
**Michael T. Anderson**, 49-82

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Aspects of Ricci Curvature, by
**Tobias H. Colding**, 83-98

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A Genealogy of Noncompact Manifolds of
Nonnegative Curvature: History and Logic, by
**Robert E. Greene**, 99-134

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Differential Geometric Aspects of Alexandrov Spaces, by
**Yukio Otsu**, 135-148

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Construction of Manifolds of Positive Ricci Curvature with
Big Volume and Large Betti Numbers, by **G. Perelman**, 149-155

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Collapsing with No Proper Extremal Subsets, by **G. Perelman**, 157-163

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Example of a Complete Riemannian Manifold of Positive Ricci
Curvature with Euclidean Volume Growth and with Nonunique Asymptotic
Cone, by **G. Perelman**, 165-166

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Convergence Theorems in Riemannian Geometry, by
**Peter Petersen**, 167-202

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Applications of Quasigeodesics and Gradient Curves, by
**Anton Petrunin**, 203-219

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The Comparison Geometry of Ricci Curvature, by
**Shunhui Zhu**, 221-262

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