Ricci flow and geometric applications : Cetraro, Italy 2010 / Michel Boileau, Gerard Besson, Carlo Sinestrari, Gang Tian ; Riccardo Benedetti, Carlo Mantegazza, editors.Material type: TextSeries: Lecture notes in mathematics (Springer-Verlag) ; 2166.Publisher: Switzerland : Springer, 2016Description: 1 online resource (xi, 136 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783319423517; 3319423517Subject(s): Ricci flow | Geometry, Differential | Differential calculus & equations | Differential & Riemannian geometry | Mathematics -- Differential Equations | Mathematics -- Geometry -- Differential | Geometry, Differential | Ricci flowGenre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: Ricci Flow and Geometric Applications : Cetraro, Italy 2010DDC classification: 516.3/62 LOC classification: QA670Online resources: Click here to access online
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Online resource; title from PDF title page (SpringerLink, viewed September 16, 2016).
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.
Includes bibliographical references.