Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pluriclosed and Strominger K\"ahler-like metrics compatible with abelian
  complex structures   We show that the existence of a left-invariant pluriclosed Hermitian metric
on a unimodular Lie group with a left-invariant abelian complex structure
forces the group to be $2$-step nilpotent. Moreover, we prove that the
pluriclosed flow starting from a left-invariant Hermitian metric on a $2$-step
nilpotent Lie group preserves the Strominger K\"ahler-like condition.

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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat