Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete Yamabe problem for polyhedral surfaces   We study a new discretization of the Gaussian curvature for polyhedral
surfaces. This discrete Gaussian curvature is defined on each conical
singularity of a polyhedral surface as the quotient of the angle defect and the
area of the Voronoi cell corresponding to the singularity. We divide polyhedral
surfaces into discrete conformal classes using a generalization of discrete
conformal equivalence pioneered by Feng Luo. We subsequently show that, in
every discrete conformal class, there exists a polyhedral surface with constant
discrete Gaussian curvature. We also provide explicit examples to demonstrate
that this surface is in general not unique.

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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an