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Curvature properties of twistor spaces of quaternionic Kähler manifolds

✍ Scribed by Bogdan Alexandrov; Gueo Grantcharov; Stefan Ivanov


Publisher
Springer
Year
1998
Tongue
English
Weight
516 KB
Volume
62
Category
Article
ISSN
0047-2468

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Twistor spaces of hyperkähler manifolds
✍ Birte Feix 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 142 KB

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