Seminar über den Ricci-Fluss, Teil 2

Ort und Zeit:

Das Programm

Vorträge

Literatur

• Peter Topping; Lectures on the Ricci flow
• S. Brendle; Ricci Flow and the Sphere Theorem, AMS Graduate Studies Vol. 111, 2010

• Böhm, Christoph; Wilking, Burkhard; Manifolds with positive curvature operators are space forms. Ann. of Math. (2) 167 (2008), no. 3, 1079--1097.
• M. Boileau Geometrization of 3-manifolds with symmetries
• Brendle, Simon; Schoen, Richard; Manifolds with 1/4-pinched curvature are space forms, J. Amer. Math. Soc. 22 (2009), 287-307. Journal, ArXiv
• Brendle, Simon; Schoen, Richard; Curvature, sphere theorems, and the Ricci flow; Bull. AMS. 48 (2011), 1-32, ArXiv
• Brendle, Simon; Schoen, Richard; Classification of manifolds with weakly 1/4-pinched curvatures, Acta Math. 200, 1--13 (2008), ArXiv
• Allen Hatcher: Notes on Basic 3-Manifold Topology 2000
• John Lott's Ricci-Fluss-Seite (Sehr zu empfehlen!)
• John W. Morgan, Gang Tian; Ricci Flow and the Poincare Conjecture
• J. Milnor; Towards the Poincaré Conjecture and the Classification of 3-Manifolds
• John W. Morgan: Recent progress on the Poincaré conjecture and the classification of 3-manifolds. Bulletin Amer. Math. Soc. 42 (2005) no. 1, 57-78 (expository article explains the eight geometries and geometrization conjecture briefly, and gives an outline of Perelman's proof of the Poincaré conjecture)
• Morgan, John W.; Fong, Frederick Tsz-Ho (2010). Ricci Flow and Geometrization of 3-Manifolds. University Lecture Series. AMS
• G. Peter Scott, The geometries of 3-manifolds. (errata) Bull. London Math. Soc. 15 (1983), no. 5, 401-487.

Weitere Literatur

• Huai-Dong Cao, Xi-Ping Zhu; Hamilton-Perelman's Proof of the Poincaré Conjecture and the Geometrization Conjecture
• Perelman's articles ArXiv 0211159, ArXiv 0303109 and ArXiv 0307245.