Einstein four-manifolds with skew torsion

被引：3

作者：

Ferreira, Ana Cristina ^{[1
]}

机构：

[1] Univ Minho, Ctr Matemat, P-4710057 Braga, Portugal

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2011年 / 61卷 / 12期

关键词：

Four-manifolds; Skew torsion; Self-duality; SPACES;

D O I：

10.1016/j.geomphys.2011.07.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：2341 / 2351

页数：11

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