Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some $Q$-curvature operators on five-dimensional pseudohermitian
  manifolds   We construct $Q$-curvature operators on $d$-closed $(1,1)$-forms and on
$\overline{\partial}_b$-closed $(0,1)$-forms on five-dimensional
pseudohermitian manifolds. These closely related operators give rise to a new
formula for the scalar $Q$-curvature. As applications, we give a cohomological
characterization of CR five-manifolds which admit a $Q$-flat contact form; and
we show that every closed, strictly pseudoconvex CR five-manifold with trivial
first real Chern class admits a $Q$-flat contact form provided the
$Q$-curvature operator on $\overline{\partial}_b$-closed $(0,1)$-forms is
nonnegative.

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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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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: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex