Affine connections on homogeneous hypercomplex manifolds

DOI10.1016/S0393-0440(99)00019-4zbMath0957.53010OpenAlexW2121018801MaRDI QIDQ1808707

María Laura Barberis

Publication date: 9 March 2001

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(99)00019-4

zbMATH Keywords

holonomyhypercomplex structuresolvable Lie algebraholonomy groupalmost hypercomplex structureObata connectionabelian hypercomplex structurehypercomplex homogeneous manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Other complex differential geometry (53C56) Issues of holonomy in differential geometry (53C29) Homogeneous complex manifolds (32M10) Connections (general theory) (53C05)

Related Items

Indefinite hyperkähler metrics on Lie groups with abelian complex structures ⋮ New HKT manifolds arising from quaternionic representations ⋮ Projective holonomy II: Cones and complete classifications ⋮ Dolbeault cohomology of nilmanifolds with left-invariant complex structure

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