Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isoperimetric inequality on CR-manifolds with nonnegative $Q'$-curvature   In this paper, we study contact forms on the three- dimensional Heisenberg
manifold with its standard CR structure. We discover that the $Q'$-curvature,
introduced by Branson, Fontana and Morpurgo [BFM13] on the CR three-sphere and
then generalized to any pseudo-Einstein CR three manifold by Case and Yang
[CY95], controls the isoperimetric inequality on such a CR-manifold. To show
this, we first prove that the nonnegative Webster curvature at infinity deduces
that the metric is normal, which is analogous to the behavior on a Riemannian
four-manifold.

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The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th