Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vaisman metrics on solvmanifolds and $d_{\theta}$-cohomology   We prove the non-existence of Vaisman metrics on some solvmanifolds with a
left-invariant complex structure. By this theorem, we show that every
Oeljeklaus-Toma manifold with $(s,1)$ admits no Vaisman metric.

29
The categories of this paper are: funct-an
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The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
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The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph