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Cheeger-Gromov Theory and Applications to General Relativity

Michael T. Anderson

Published 2002-08-26, updated 2004-01-28Version 2

This paper surveys aspects of the convergence and degeneration of Riemannian metrics on a given manifold M - the Cheeger-Gromov theory - and extensions thereof to Ricci curvature in place of full curvature. This theory is then applied to study a collection of different issues in mathematical aapects of General Relativity.

Comments: 23pp, for Proc. 2002 Cargese School on General Relativity
Categories: gr-qc, math.DG
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