Einstein four-manifolds with skew torsion

Details Einstein four-manifolds with skew torsion Einstein four-manifolds with skew torsion

2011-06-24

arxiv.org/abs/1106.4947v1

Mathematics

Differential Geometry

Scientific paper

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.

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