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Quaternionic Kähler and hyperKähler manifolds with torsion and twistor spaces

✍ Scribed by Ivanov, Stefan; Minchev, Ivan


Book ID
125446005
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2004
Tongue
English
Weight
187 KB
Volume
2004
Category
Article
ISSN
0075-4102

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Twistor spaces of hyperkähler manifolds
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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