Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Positive Mass Theorem with Arbitrary Ends   We prove a Riemannian positive mass theorem for manifolds with a single
asymptotically flat end, but otherwise arbitrary other ends, which can be
incomplete and contain negative scalar curvature. The incompleteness and
negativity is compensated for by large positive scalar curvature on an annulus,
in a quantitative fashion. In the complete noncompact case with nonnegative
scalar curvature, we have no extra assumption and hence prove a long-standing
conjecture of Schoen and Yau.

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The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat