Einstein four-manifolds with skew torsion

JOURNAL OF GEOMETRY AND PHYSICS

卷:61

Article

Ferreira, Ana Cristina

关键词: Four-manifolds;    Skew torsion;    Self-duality;   

DOI  :  10.1016/j.geomphys.2011.07.009

来源: Elsevier

【 摘 要 】

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 S-4 for a family of metrics defined by Bonneau. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free