HKT Manifolds with Holonomy SL(n,H)

DOI10.1093/imrn/rnr160zbMath1250.53045arXiv1010.5052OpenAlexW2963021532MaRDI QIDQ2909671

Stefan Ivanov, Alexander Petkov

Publication date: 6 September 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5052

zbMATH Keywords

Lee formHKT manifoldObata connectiontrivial canonical bundlehyper-Hermitian manifoldholonomy SL(n,H)

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Issues of holonomy in differential geometry (53C29)

Related Items (5)

A remark on the quaternionic Monge-Ampère equation on foliated manifolds ⋮ Fully non-linear elliptic equations on compact manifolds with a flat hyperkähler metric ⋮ A parabolic approach to the Calabi-Yau problem in HKT geometry ⋮ Hypercomplex almost abelian solvmanifolds ⋮ \(N=4\) mechanics of general (4,4,0) multiplets

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