Cheeger-Gromov Theory and Applications to General Relativity
General Relativity and Quantum Cosmology
2007-05-23 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.gr-qc/0208079,
title = {Cheeger-Gromov Theory and Applications to General Relativity},
author = {Michael T. Anderson},
journal= {arXiv preprint arXiv:gr-qc/0208079},
year = {2007}
}
Comments
23pp, for Proc. 2002 Cargese School on General Relativity