Degeneration of Riemannian Metrics Under Ricci Curvature Bounds

2001. Auflage 2001
ISBN: 978-88-7642-304-8
Verlag: Scuola Normale Superiore

Buch, Englisch, 77 Seiten, Format (B × H): 172 mm x 239 mm, Gewicht: 227 g

Reihe: Publications of the Scuola Normale Superiore

These notes are based on the Fermi Lectures delivered at the Scuola Normale Superiore, Pisa, in June 2001. The principal aim of the lectures was to present the structure theory developed by Toby Colding and myself, for metric spaces which are Gromov-Hausdorff limits of sequences of Riemannian manifolds which satisfy a uniform lower bound of Ricci curvature. The emphasis in the lectures was on the “non-collapsing” situation. A particularly interesting case is that in which the manifolds in question are Einstein (or Kähler-Einstein). Thus, the theory provides information on the manner in which Einstein metrics can degenerate.

Zielgruppe

Research

Autoren/Hrsg.

Cheeger, Jeff

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie