Orbifold compactness for spaces of Riemannian metrics and applications
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.
arXiv Mathematics e-prints
- Pub Date:
- December 2003
- Differential Geometry
- 28pp. Exposition improved, references added