Einstein four-manifolds with skew torsion
Differential Geometry
2015-05-28 v1
Abstract
We develop a notion of Einstein manifolds with skew torsion on compact, orientable Riemannian manifolds of dimension four. We prove an analogue of the Hitchin-Thorpe inequality and study the case of equality. We use the link with self-duality to study the moduli space of 1-instantons on the 4-sphere for a family of metrics defined by Bonneau.
Keywords
Cite
@article{arxiv.1106.4947,
title = {Einstein four-manifolds with skew torsion},
author = {Ana Cristina Ferreira},
journal= {arXiv preprint arXiv:1106.4947},
year = {2015}
}