£49.50

Ricci Flow and the Sphere Theorem (Graduate Studies in Mathematics)

Differential Equations

Price data last checked 27 day(s) ago - will refresh soon

View at Amazon

Price History & Forecast

Last 64 days • 64 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 64 days • 1 price levels

Days at Price

Price Analysis

Most common price: £50 (64 days, 100.0%)

Price range: £50 - £50

Price levels: 1 different prices over 64 days

Description

In 1982, R. Hamilton introduced a nonlinear evolution equation for Riemannian metrics with the aim of finding canonical metrics on manifolds. This evolution equation is known as the Ricci flow, and it has since been used widely and with great success, most notably in Perelman's solution of the Poincare conjecture. Furthermore, various convergence theorems have been established. This book provides a concise introduction to the subject as well as a comprehensive account of the convergence theory for the Ricci flow. The proofs rely mostly on maximum principle arguments. Special emphasis is placed on preserved curvature conditions, such as positive isotropic curvature. One of the major consequences of this theory is the Differentiable Sphere Theorem: a compact Riemannian manifold whose sectional curvatures all lie in the interval (1,4] is diffeomorphic to a spherical space form. This question has a long history, dating back to a seminal paper by H. E. Rauch in 1951, and it was resolved in 2007 by the author and Richard Schoen. This text originated from graduate courses given at ETH Zurich and Stanford University, and is directed at graduate students and researchers. The reader is assumed to be familiar with basic Riemannian geometry, but no previous knowledge of Ricci flow is required.

Product Specifications

Format: hardcover
ASIN: 0821849387
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 15 February 2010
Listed Since: 30 November 2009

Barcode

No barcode data available

Ricci Flow and the Sphere Theorem (Graduate Studies in Mathematics)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem: 2011 (Lecture Notes in Mathematics, 2011)

An Introduction to the Kähler-Ricci Flow: 2086 (Lecture Notes in Mathematics, 2086)

The Ricci Flow: Techniques and Applications: Geometric-analytic Aspects (Mathematical Surveys and Monographs): Part III: Geometric-Analytic Aspects

Ricci Solitons in Low Dimensions (Graduate Studies in Mathematics)

Ricci Solitons in Low Dimensions (Graduate Studies in Mathematics)

The Ricci Flow: Geometric Aspects Pt. 1: Techniques and Applications: Geometric Aspects Pt. 1 (Mathematical Surveys & Monographs): Part I: Geometric Aspects

Geometric Evolution Equations (Contemporary Mathematics): National Center For Theoretical Sciences Workshop On Geometric Evolution Equations, National ... Hsinchu, Taiwan, July 15-August 14, 2002

Fraternal Twins: The unreasonable resemblance of the Ricci and mean curvature flows

Riemannian Geometry: 171 (Graduate Texts in Mathematics, 171)

Introduction to Riemannian Manifolds: 176 (Graduate Texts in Mathematics, 176)

Introduction to Differential Geometry (Springer Studium Mathematik (Master))

Curvature of Space and Time, with an Introduction to Geometric Analysis (Student Mathematical Library)

The Geometrization Conjecture (Clay Mathematics Monographs)

Differential Geometry: Connections, Curvature, and Characteristic Classes: 275 (Graduate Texts in Mathematics, 275)

Differential Geometry: Connections, Curvature, and Characteristic Classes: 275 (Graduate Texts in Mathematics, 275)

Geometry of Manifolds (AMS Chelsea Publishing) (Chelsea Publications)

Analysis Of Harmonic Maps And Their Heat Flows, The

Geometry VI: Riemannian Geometry: 91 (Encyclopaedia of Mathematical Sciences, 91)

Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry (Cornerstones)

Riemannian Geometry (Universitext)

Springer Comparison Finsler Geometry - Mathematics Monograph

Comparison Finsler Geometry (Springer Monographs in Mathematics)

Geometric Properties Of Natural Operators Defined By The Riemann Curvature Tensor

Geometry and Billiards (Student Mathematical Library)