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Hyperkähler metrics of cohomogeneity one

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Irreducible hyperkähler manifolds of dimension greater than four admitting a cohomogeneity-one action of a compact simple Lie group are classified via coadjoint orbits. It is shown that the only complete example is the Calabi metric on T*ℂP(n).

Original languageEnglish
JournalJournal of Geometry and Physics
Pages (from-to)218-230
Number of pages13
Publication statusPublished - 1 Jan 1997
Externally publishedYes

    Research areas

  • Calabi metric, Cohomogeneity, Einstein equations, Hyperkähler metrics

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