We shall describe the twistor space of a hyperkähler 4n-manifold with an isometric S 1 -action which is holomorphic for one of the complex structures, scales the corresponding holomorphic symplectic form and whose fixed point set has complex dimension n. We deduce that any hyperkähler metric on the
✦ LIBER ✦
Properties of Hyperkähler Manifolds and Their Twistor Spaces
✍ Scribed by Ulf Lindström; Martin Roček
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 346 KB
- Volume
- 293
- Category
- Article
- ISSN
- 0010-3616
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