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A construction of hyper-Kähler metrics

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Publication:1100748
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DOI10.1007/BF01078477zbMath0641.53063MaRDI QIDQ1100748

Simon G. Gindikin

Publication date: 1986

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

holonomy grouphyper-Kähler metricaction of a compact Lie groupright-planar metric


Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Complex manifolds (32Q99)


Related Items (6)

Complex hyperkähler structures defined by Donaldson-Thomas invariants ⋮ Six-dimensional heavenly equation. Dressing scheme and the hierarchy ⋮ Integrability properties of a symmetric 4  +  4-dimensional heavenly-type equation ⋮ Integral geometry, twistors and generalised conformal structures ⋮ Manifolds with an $SU(2)$-action on the tangent bundle ⋮ An infinite number of hidden variables in hyper-Kähler metrics



Cites Work

  • Quaternionic Kaehler manifolds
  • Nonlinear gravitons and curved twistor theory


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