Peter Topping

Lectures on the Ricci Flow

• Broschiertes Buch

Produktbeschreibung

An introduction to Ricci flow suitable for graduate students and research mathematicians.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 124
• Erscheinungstermin: 10. Dezember 2009
• Englisch
• Abmessung: 229mm x 152mm x 7mm
• Gewicht: 192g
• ISBN-13: 9780521689472
• ISBN-10: 0521689473
• Artikelnr.: 22561333

Autorenporträt

Peter Topping is a Senior Lecturer in Mathematics at the University of Warwick.

Inhaltsangabe

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.