2 Ergebnisse.

Provides a complete proof of the geometrization conjecture, which describes all compact 3-manifolds in terms of geometric pieces. The method is to understand the limits as time goes to infinity of Ricci flow with surgery. The first half of the book is devoted to showing that these limits divide naturally along incompressible tori into pieces on which the metric is converging smoothly to hyperbolic metrics and pieces that are locally more and m...

For over 100 years the Poincare Conjecture, which proposes a topological characterization of the 3-sphere, has been the central question in topology. Since its formulation, it has been repeatedly attacked, without success, using various topological methods. This book provides details of a complete proof of the Poincare Conjecture.