Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Refined gluing for Vacuum Einstein constraint equations   We first show that the connected sum along submanifolds introduced by the
second author for compact initial data sets of the vacuum Einstein system can
be adapted to the asymptotically Euclidean and to the asymptotically hyperbolic
context. Then, we prove that in any case, and generically, the gluing procedure
can be localized, in order to obtain new solutions which coincide with the
original ones outside of a neighborhood of the gluing locus.

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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs