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arxiv: math/0001025 · v1 · submitted 2000-01-05 · 🧮 math.DG

The HyperK\"ahler Geometry Associated to Wolf Spaces

classification 🧮 math.DG
keywords ahlerhyperkassociatedcompactcompatiblecomplexdetermineform
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Let G be a compact simple Lie group and the O the minimal nilpotent orbit in g^C. We determine all G-invariant K\"ahler potentials for hyperK\"ahler metrics compatible with the KKS complex symplectic form on O.

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