Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brendle's inequality on static manifolds   We generalize Brendle's geometric inequality considered in \cite{B} to static
manifolds. The inequality bounds the integral of inverse mean curvature of an
embedded mean-convex hypersurface by geometric data of the horizon. As a
consequence, we obtain a reverse Penrose inequality on static asymptotically
locally hyperbolic manifolds in the spirit of Chru\'{s}ciel and Simon
\cite{CS}.

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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys