Hypercomplex structures associated to quaternionic manifolds

被引：24
作者：
Pedersen, H
Poon, YS
Swann, AF
机构：
[1] Odense Univ, Dept Math & Comp Sci, DK-5230 Odense M, Denmark
[2] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA
[3] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1998年 / 9卷 / 03期
基金：
美国国家科学基金会;
关键词：
hypercomplex manifold; quaternionic manifold; instanton; self-duality; U(2)-symmetry;
D O I：
10.1016/S0926-2245(98)00026-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
If M is a quaternionic manifold and P is an S-1-instanton over M, then Joyce constructed a hypercomplex manifold we call P(M) over M. These hypercomplex manifolds admit a U(2)-action of a special type permuting the complex structures. We show that up to double covers, all such hypercomplex manifolds arise in this way. Examples, including that of a hypercomplex structure on SU(3), show the necessity of including double covers of P(M).
引用
收藏
页码：273 / 292
页数：20
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