The intrinsic torsion of almost quaternion-Hermitian manifolds

DOI10.5802/aif.2390zbMath1145.53017arXiv0707.0939OpenAlexW36644622MaRDI QIDQ939587

Francisco Martín Cabrera, Andrew F. Swann

Publication date: 26 August 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.0939

zbMATH Keywords

intrinsic torsion\(G\)-structurealmost quaternion-Hermitian structurealmost Hermitian structure\(G\)-connectionHKT-manifoldQKT-manifold

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) (G)-structures (53C10)

Related Items

Hypersymplectic structures with torsion on Lie algebroids ⋮ Twists versus modifications ⋮ Homogeneous almost quaternion-Hermitian manifolds ⋮ Twisting Hermitian and hypercomplex geometries ⋮ Almost quaternion-Hermitian manifolds with large automorphism group ⋮ SO(3)-structures on 8-manifolds ⋮ New HKT manifolds arising from quaternionic representations ⋮ Quaternion geometries on the twistor space of the six-sphere ⋮ Harmonic structures and intrinsic torsion ⋮ A nearly quaternionic structure on SU\((3)\) ⋮ Geometry of \(G\)-structures via the intrinsic torsion ⋮ Hidden symmetries and supergravity solutions

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