Publications of the Scuola Normale Superiore

Degeneration of Riemannian metrics under Ricci curvature bounds

Authors: Cheeger, Jeff

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About this book

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.

Buy this book

Softcover $24.95
price for USA
  • ISBN 978-88-7642-304-8
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.

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Bibliographic Information

Bibliographic Information
Book Title
Degeneration of Riemannian metrics under Ricci curvature bounds
Authors
Series Title
Publications of the Scuola Normale Superiore
Copyright
2001
Publisher
Edizioni della Normale
Copyright Holder
Edizioni della Normale
Softcover ISBN
978-88-7642-304-8
Edition Number
1
Number of Pages
77
Topics