Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 2-Dimensional Combinatorial Calabi Flow in Hyperbolic Background
  Geometry   For triangulated surfaces locally embedded in the standard hyperbolic space,
we introduce combinatorial Calabi flow as the negative gradient flow of
combinatorial Calabi energy. We prove that the flow produces solutions which
converge to ZCCP-metric (zero curvature circle packing metric) if the initial
energy is small enough. Assuming the curvature has a uniform upper bound less
than $2\pi$, we prove that combinatorial Calabi flow exists for all time.
Moreover, it converges to ZCCP-metric if and only if ZCCP-metric exists.

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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: econ