@inbook{af77fea2d47e473fb7c83bc1884ecda4,
title = "Introduction",
abstract = "The relationship between curvature and topology has traditionally been one of the most popular and highly developed topics in Riemannian geometry. In this area, a central issue of concern is that of determining global topological structures from local metric properties. Of particular interest to us the so- called pinching problem and related sphere theorems in geometry. We begin with a brief overview of this problem, from Hopf{\textquoteright}s inspiration to the latest developments in Hamilton{\textquoteright}s Ricci flow.",
keywords = "Compact Riemannian Manifold, Constant Sectional Curvature, Ricci Flow, Riemannian Manifold, Sectional Curvature",
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_1",
language = "English",
isbn = "9783642159664",
series = "Lecture Notes in Mathematics",
publisher = "Springer Verlag",
pages = "1--9",
booktitle = "The Ricci Flow in Riemannian Geometry",
address = "Germany",
}