Ricci Flow and Geometric Applications
Boileau, Michel.
Ricci Flow and Geometric Applications Cetraro, Italy 2010 / [electronic resource] : by Michel Boileau, Gerard Besson, Carlo Sinestrari, Gang Tian ; edited by Riccardo Benedetti, Carlo Mantegazza. - XI, 136 p. online resource. - C.I.M.E. Foundation Subseries ; 2166 . - C.I.M.E. Foundation Subseries ; 2166 .
Preface -- The Differentiable Sphere Theorem (after S. Brendle and R. Schoen) -- Thick/Thin Decomposition of three–manifolds and the Geometrisation Conjecture -- Singularities of three–dimensional Ricci flows -- Notes on K¨ahler-Ricci flow.
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.
9783319423517
10.1007/978-3-319-42351-7 doi
Global differential geometry.
Differential equations, partial.
Differential Geometry.
Partial Differential Equations.
QA641-670
516.36
Ricci Flow and Geometric Applications Cetraro, Italy 2010 / [electronic resource] : by Michel Boileau, Gerard Besson, Carlo Sinestrari, Gang Tian ; edited by Riccardo Benedetti, Carlo Mantegazza. - XI, 136 p. online resource. - C.I.M.E. Foundation Subseries ; 2166 . - C.I.M.E. Foundation Subseries ; 2166 .
Preface -- The Differentiable Sphere Theorem (after S. Brendle and R. Schoen) -- Thick/Thin Decomposition of three–manifolds and the Geometrisation Conjecture -- Singularities of three–dimensional Ricci flows -- Notes on K¨ahler-Ricci flow.
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.
9783319423517
10.1007/978-3-319-42351-7 doi
Global differential geometry.
Differential equations, partial.
Differential Geometry.
Partial Differential Equations.
QA641-670
516.36