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Hyper-Kähler metrics conformal to left invariant metrics on four-dimensional Lie groups

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Publication:1870255
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DOI10.1023/A:1022448007111zbMath1031.53074OpenAlexW159590328MaRDI QIDQ1870255

María Laura Barberis

Publication date: 11 May 2003

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022448007111


zbMATH Keywords

hypercomplex manifoldhyper-Hermitian metricconformally hyper-Kähler metric


Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)


Related Items

Invariant vector field on a homogeneous Finsler space with special (α,β)-metric ⋮ Hypercomplex almost abelian solvmanifolds ⋮ Locally conformally Kähler structures on unimodular Lie groups ⋮ On the geometrical properties of hypercomplex four-dimensional Lie groups ⋮ On the geometrical properties of hypercomplex four-dimensional Lorentzian Lie groups ⋮ ON SOME HYPERCOMPLEX 4-DIMENSIONAL LIE GROUPS OF CONSTANT SCALAR CURVATURE ⋮ LEFT INVARIANT $(\alpha,\beta)$-METRICS ON 4-DIMENSIONAL LIE GROUPS



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