Ricci Flow and the Poincare Conjecture
by John Morgan, Gang Tian
Publisher: American Mathematical Society 2007
ISBN/ASIN: 0821843281
ISBN-13: 9780821843284
Number of pages: 493
Description:
This book provides full details of a complete proof of the Poincare Conjecture following Grigory Perelman's three preprints. With the large amount of background material that is presented and the detailed versions of the central arguments, this book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology.
Download or read it online for free here:
Download link
(4.2MB, PDF)
Similar books
Natural Operations in Differential Geometryby Ivan Kolar, Peter W. Michor, Jan Slovak - Springer
A comprehensive textbook on all basic structures from the theory of jets. It begins with an introduction to differential geometry. After reduction each problem to a finite order setting, the remaining discussion is based on properties of jet spaces.
(13747 views)
Notes on the Atiyah-Singer Index Theoremby Liviu I. Nicolaescu - University of Notre Dame
This is arguably one of the deepest and most beautiful results in modern geometry, and it is surely a must know for any geometer / topologist. It has to do with elliptic partial differential operators on a compact manifold.
(8162 views)
Geometric Wave Equationsby Stefan Waldmann - arXiv
We discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties of Green functions and Green operators is discussed.
(7928 views)
Cusps of Gauss Mappingsby Thomas Banchoff, Terence Gaffney, Clint McCrory - Pitman Advanced Pub. Program
Gauss mappings of plane curves, Gauss mappings of surfaces, characterizations of Gaussian cusps, singularities of families of mappings, projections to lines, focal and parallel surfaces, projections to planes, singularities and extrinsic geometry.
(13027 views)