Twistor geometry for hyperkähler metrics on complex adjoint orbits

DOI10.1023/A:1006567614081zbMath0924.53034OpenAlexW68671443MaRDI QIDQ1370910

Sérgio D'Amorim Santa-Cruz

Publication date: 8 November 1999

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006567614081

zbMATH Keywords

hyper-Kähler metricstwistor spacesadjoint orbits

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Twistor theory, double fibrations (complex-analytic aspects) (32L25)

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Harmonic morphisms and moment maps on hyper-Kähler manifolds ⋮ Invariant hypercomplex structures and algebraic curves ⋮ Line bundles on spectral curves and the generalised Legendre transform construction of hyperkähler metrics ⋮ Complex adjoint orbits in Lie theory and geometry ⋮ Twisteurs des orbites coadjointes et métriques hyper-pseudokählériennes