Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-K\"ahler Chern-flat manifolds and complex 2-step nilpotent Lie
  algebras   The study of quasi-K\"ahler Chern-flat almost Hermitian manifolds is strictly
related to the study of anti-bi-invariant almost complex Lie algebras. In the
present paper we show that quasi-K\"ahler Chern-flat almost Hermitian
structures on compact manifolds are in correspondence to complex parallelisable
Hermitian structures satisfying the second Gray identity. From an algebraic
point of view this correspondence reads as a natural correspondence between
anti-bi-invariant almost complex structures on Lie algebras to bi-invariant
complex structures. Some natural algebraic problems are approached and some
exotic examples are carefully described.

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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
1
The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol