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The HyperKähler Geometry Associated to Wolf Spaces

Piotr Kobak·Andrew Swann
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Abstract

Let G be a compact simple Lie group and the O the minimal nilpotent orbit in g^C. We determine all G-invariant Kähler potentials for hyperKähler metrics compatible with the KKS complex symplectic form on O.

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Piotr Kobak, Andrew Swann. 2000-01-05. The HyperKähler Geometry Associated to Wolf Spaces. https://arxiv.org/abs/math/0001025

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