LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.362
Title	The Ricci Flow in Riemannian Geometry : A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem ([Ebook]) / Ben Andrews, Christopher Hopper
Author	Andrews, Ben
Added Personal Name	Hopper, Christopher
Publication	Berlin ; Heidelberg : Springer , 2011
Physical Details	1 online resource
Series	Lecture Notes in Mathematics ; 2011
ISBN	978-3-642-16286-2
Summary Note	The aim of the present book is to provide a unified expository account of the differentiable 1/4-pinching sphere theorem together with the necessary background material and recent convergence theory for the Ricci flow in n-dimensions.This account should be accessible to anyone familiar with enough differential geometry to feel comfortable with tensors, covariant derivatives, and normal coordinates; and enough analysis to follow standard pde arguments. The proof we present is self-contained (except for the quoted Cheeger–Gromov compactness theorem for Riemannian metrics), and incorporates several improvements on what is currently available in the literature. Broadly speaking, the structure of this book falls into three main topics.The first centres around the introduction and analysis the Ricci flow as a geometric heat-type partial differential equation. The second concerns Perel’man’s monotonicity formulæ and the ‘blow up’ analysis of singularities associated with the Ricci flow. The final topic focuses on the recent contribu- tions made – particularly by Böhm and Wilking [BW08], and by Brendle and Schoen [BS09a] – in developing the necessary convergence theory for the Ricci flow in n -dimensions. These topics are developed over several chapters, the final of which aims to prove the differentiable version of the sphere theorem.:
Mode of acces to digital resource	Digital reproduction.- Berlin : Springer, 2011. - Mode of access : World Wide Web. - System requirements : Internet Explorer 6.0 (or higher) of Firefox 2.0 (or higher). Available as searchable text in PDF format or ePub
System details note	Online access to this digital book is restricted to subscribing institutions through IP address (only for internal SISSA users)
Internet Site	http://dx.doi.org/10.1007/978-3-642-16286-2
Links to Related Works	Subject References: Riemannian geometry . Authors: Andrews, Ben . Hopper, Christopher . Series: Lecture Notes in Mathematics . Classification: 516.362 . 516.362 (DDC 23) .

Catalogue Display

The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem

Reviews