Cheeger-Gromov Theory and Applications to General Relativity

Abstract

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.

23pp, for Proc. 2002 Cargese School on General Relativity

Cited by in corpus (2)

• On the structure of asymptotically de Sitter and anti-de Sitter spaces
• Asymptotic behavior of future-complete cosmological space-times