TY  - BOOK
AU  - Andrews,Ben
AU  - Hopper,Christopher
ED  - SpringerLink (Online service)
TI  - The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem 
T2  - Lecture Notes in Mathematics,
SN  - 9783642162862
AV  - QA370-380 
U1  - 515.353 23
PY  - 2011///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Global analysis
KW  - Differential equations, partial
KW  - Global differential geometry
KW  - Partial Differential Equations
KW  - Differential Geometry
KW  - Global Analysis and Analysis on Manifolds
N1  - 1 Introduction -- 2 Background Material -- 3 Harmonic Mappings -- 4 Evolution of the Curvature -- 5 Short-Time Existence -- 6 Uhlenbeck’s Trick -- 7 The Weak Maximum Principle -- 8 Regularity and Long-Time Existence -- 9 The Compactness Theorem for Riemannian Manifolds -- 10 The F-Functional and Gradient Flows -- 11 The W-Functional and Local Noncollapsing -- 12 An Algebraic Identity for Curvature Operators -- 13 The Cone Construction of Böhm and Wilking -- 14 Preserving Positive Isotropic Curvature -- 15 The Final Argument
N2  - This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing results, and culminating in a detailed analysis of the evolution of curvature, where recent breakthroughs of Böhm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-16286-2
ER  -