Presenting some impressive recent achievements in differential geometry and topology this
volume focuses on results obtained using techniques based on Ricci flow. These ideas are at the
core of the study of differentiable manifolds. Several very important open problems and
conjectures come from this area and the techniques described herein are used to face and solve
some of them. The book's four chapters are based on lectures given by leading researchers in
the field of geometric analysis and low-dimensional geometry topology respectively offering an
introduction to: the differentiable sphere theorem (G. Besson) the geometrization of
3-manifolds (M. Boileau) the singularities of 3-dimensional Ricci flows (C. Sinestrari) and
Kähler-Ricci flow (G. Tian). The lectures will be particularly valuable to young researchers
interested in differential manifolds.
