Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constant scalar curvature metrics with isolated singularities   We extend the results and methods of \cite{MP} to prove the existence of
constant positive scalar curvature metrics $g$ which are complete and conformal
to the standard metric on $S^N \setminus \Lambda$, where $\Lambda$ is a
disjoint union of submanifolds of dimensions between 0 and $(N-2)/2$. The
existence of solutions with isolated singularities occupies the majority of the
paper; their existence was previously established by Schoen \cite{S}, but the
proof we give here, based on the techniques of \cite{MP}, is more direct, and
provides more information about their geometry. When $\Lambda$ is discrete we
also establish that these solutions are smooth points in the moduli spaces of
all such solutions introduced and studied in \cite{MPU1} and \cite{MPU2}

5
The categories of this paper are: gr-qc
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The categories of this paper are: nlin
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat