Orbifold compactness for spaces of Riemannian metrics and applications
Differential Geometry
2007-05-23 v2
Abstract
This work proves certain general orbifold compactness results for spaces of Riemannian metrics, generalizing earlier results along these lines for Einstein metrics or metrics with bounded Ricci curvature. This is then applied to prove such compactness for spaces of Bach-flat (for example half-conformally flat) metrics on 4-manifolds, and related results for metrics which are critical points of other natural Riemannian functionals on the space of metrics.
Keywords
Cite
@article{arxiv.math/0312111,
title = {Orbifold compactness for spaces of Riemannian metrics and applications},
author = {Michael T. Anderson},
journal= {arXiv preprint arXiv:math/0312111},
year = {2007}
}
Comments
28pp. Exposition improved, references added