Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal deformations of conic metrics to constant scalar curvature   We consider conformal deformations within a class of incomplete Riemannian
metrics which generalize conic orbifold singularities by allowing both warping
and any compact manifold (not just quotients of the sphere) to be the "link" of
the singular set. Within this class of "conic metrics," we determine
obstructions to the existence of conformal deformations to constant scalar
curvature of any sign (positive, negative, or zero). For conic metrics with
negative scalar curvature, we determine sufficient conditions for the existence
of a conformal deformation to a conic metric with constant scalar curvature -1;
moreover, we show that this metric is unique within its conformal class of
conic metrics. Our work is in dimensions three and higher.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg