Abstract
If M is a quaternionic manifold and P is an S1-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).
Originalsprog | Engelsk |
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Tidsskrift | Differential Geometry and its Application |
Vol/bind | 9 |
Nummer | 3 |
Sider (fra-til) | 273-292 |
Antal sider | 20 |
ISSN | 0926-2245 |
DOI | |
Status | Udgivet - 1 jan. 1998 |
Udgivet eksternt | Ja |