Homogeneous HKT and QKT manifolds

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dc.creatorOpfermann, A.
dc.creatorPapadopoulos, G.
dc.date1998-07-24
dc.date.accessioned2026-07-07T04:32:27Z
dc.date.available2026-07-07T04:32:27Z
dc.descriptionWe present the construction of a large class of homogeneous KT, HKT and QKT manifolds, $G/K$, using an invariant metric on $G$ and the canonical connection. For this a decomposition of the Lie algebra of $G$ is employed, which is most easily described in terms of colourings of Dynkin diagrams of simple Lie algebras. KT structures on homogeneous spaces are associated with different colourings of Dynkin diagrams. The colourings which give rise to HKT structures are found using extended Dynkin diagrams. We also construct homogeneous QKT manifolds from homogeneous HKT manifolds and show that their twistor spaces admit a KT structure. Many examples of homogeneous KT, HKT and QKT spaces are given.
dc.descriptionlatex2e, 33 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math-ph/9807026
dc.identifierhttp://arxiv.org/abs/math-ph/9807026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58199
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleHomogeneous HKT and QKT manifolds
dc.typetext

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