Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogeneous HKT and QKT manifolds   We 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.

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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: econ