Twistor Geometry for Hyperkähler Metrics on Complex Adjoint Orbits
Identifieur interne : 001873 ( Main/Exploration ); précédent : 001872; suivant : 001874Twistor Geometry for Hyperkähler Metrics on Complex Adjoint Orbits
Auteurs : Sérgio D'Amorim Santa-Cruz [Brésil]Source :
- Annals of Global Analysis and Geometry [ 0232-704X ] ; 1997-08-01.
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Abstract
Abstract: We study the hyperkähler geometry of complex adjoint orbits from the point of view of twistor theory. We introduce, for complex semisimple adjoint orbits, the associated spectral curve and construct the twistor space as a union of certain regular adjoint orbits; we also exhibit the family of twistor lines. Furthermore, we show how our methods may be applied for describing hyperkähler metrics associated to more general spectral curves. In particular, we give an algebraic characterisation of the twistor lines.
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DOI: 10.1023/A:1006567614081
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