[PDF.32jm] Degeneration of Riemannian metrics under Ricci curvature bounds (Publications of the Scuola Normale Superiore)

Degeneration of Riemannian metrics under Ricci curvature bounds (Publications of the Scuola Normale Superiore)

[PDF.xx15] Degeneration of Riemannian metrics under Ricci curvature bounds (Publications of the Scuola Normale Superiore)

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 | #1525378 in Books |  2013-06-11 | Original language:English | PDF # 1 |  9.48 x.28 x6.62l,.49 | File type: PDF | 77 pages

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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 ...

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