Lectures on the Ricci Flow

Informationen zum Autor Peter Topping is a Senior Lecturer in Mathematics at the University of Warwick. Klappentext An introduction to Ricci flow suitable for graduate students and research mathematicians. Zusammenfassung Hamilton's Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincaré conjecture and Thurston's geometrization conjecture. This book gives a concise introduction to the subject with the hindsight of Perelman's breakthroughs from 2002/2003. Inhaltsverzeichnis 1. Introduction; 2. Riemannian geometry background; 3. The maximum principle; 4. Comments on existence theory for parabolic PDE; 5. Existence theory for the Ricci flow; 6. Ricci flow as a gradient flow; 7. Compactness of Riemannian manifolds and flows; 8. Perelman's W entropy functional; 9. Curvature pinching and preserved curvature properties under Ricci flow; 10. Three-manifolds with positive Ricci curvature and beyond.

Dettagli sul prodotto

• Autori: Peter Topping, Peter (University of Warwick) Topping
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 12.10.2006
• EAN: 9780521689472
• ISBN: 978-0-521-68947-2
• Pagine: 124
• Serie: London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Altro