Almost-Kahler Anti-Self-Dual Metrics
Differential Geometry
2015-11-25 v1
Abstract
We show the existence of strictly almost-Kahler anti-self-dual metrics on certain 4-manifolds by deforming scalar-flat Kahler metrics. On the other hand, we prove the non-existence of such metrics on certain other 4-manifolds by means of Seiberg-Witten theory. In the process, we provide a simple new proof of the fact that any almost-Kahler anti-self-dual 4-manifold must have a non-trivial Seiberg-Witten invariant.
Keywords
Cite
@article{arxiv.1511.07656,
title = {Almost-Kahler Anti-Self-Dual Metrics},
author = {Inyoung Kim},
journal= {arXiv preprint arXiv:1511.07656},
year = {2015}
}