Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Special Hermitian metrics and Lie groups   A Hermitian metric on a complex manifold is called strong K\"ahler with
torsion (SKT) if its fundamental 2-form $\omega$ is $\partial \bar
\partial$-closed. We review some properties of strong KT metrics also in
relation with symplectic forms taming complex structures. Starting from a
$2n$-dimensional SKT Lie algebra $\mathfrak g$ {and using} a Hermitian flat
connection on $\mathfrak g$ we construct a $4n$-dimensional SKT Lie algebra. We
apply this method to some 4-dimensional SKT Lie algebras. Moreover, we classify
symplectic forms taming complex structures on 4-dimensional Lie algebras.

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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg