On Optimal 4-Dimensional Metrics
Differential Geometry
2007-11-13 v1 Complex Variables
Abstract
We completely determine, up to homeomorphism, which simply connected compact oriented 4-manifolds admit scalar-flat, anti-self-dual Riemannian metrics. The key new ingredient is a proof that the connected sum of five reverse-oriented complex projective planes admits such metrics.
Cite
@article{arxiv.0711.1668,
title = {On Optimal 4-Dimensional Metrics},
author = {Claude LeBrun and Bernard Maskit},
journal= {arXiv preprint arXiv:0711.1668},
year = {2007}
}
Comments
37 pages, 5 figures