On noncollapsed almost Ricci-flat 4-manifolds
Differential Geometry
2017-10-17 v3
Abstract
We give topological conditions to ensure that a noncollapsed almost Ricci-flat 4-manifold admits a Ricci-flat metric. One sufficient condition is that the manifold is spin and has a nonzero A-hat genus. Another condition is that the fundamental group is infinite or, more generally, of sufficiently large cardinality.
Cite
@article{arxiv.1606.09041,
title = {On noncollapsed almost Ricci-flat 4-manifolds},
author = {Vitali Kapovitch and John Lott},
journal= {arXiv preprint arXiv:1606.09041},
year = {2017}
}
Comments
21 pages, final version