Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large-sphere and small-sphere limits of the Brown-York mass   In this paper, we will study the limiting behavior of the Brown-York mass of
the coordinate spheres in an asymptotically flat manifold. Limiting behaviors
of volumes of regions related to coordinate spheres are also obtained,
including a discussion on the isoperimetric mass introduced by Huisken
\cite{Huisken}. We will also study expansions of the Brown-York mass and the
Hawking mass of geodesic spheres with center at a fixed point $p$ of a three
manifold. Some geometric consequences will be derived.

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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
8
The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
1
The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat