Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogeneous almost complex structures in dimension 6 with semi-simple
  isotropy   We classify invariant almost complex structures on homogeneous manifolds of
dimension 6 with semi-simple isotropy. Those with non-degenerate Nijenhuis
tensor have the automorphism group of dimension either 14 or 9. An invariant
almost complex structure with semi-simple isotropy is necessarily either of
specified 6 homogeneous types or a left-invariant structure on a Lie group. For
integrable invariant almost complex structures we classify all compatible
invariant Hermitian structures on these homogeneous manifolds, indicate their
integrability properties (Kahler, SNK, SKT) and mark the other interesting
geometric properties (including the Gray-Hervella type).

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The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
37
The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph