Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A survey on the K\"ahler-Ricci flow and Yau's uniformization conjecture   Yau's uniformization conjecture states: a complete noncompact K\"ahler
manifold with positive holomorphic bisectional curvature is biholomorphic to
$\ce^n$. The K\"ahler-Ricci flow has provided a powerful tool in understanding
the conjecture, and has been used to verify the conjecture in several important
cases. In this article we present a survey of the K\"ahler-Ricci flow with
focus on its application to uniformization. Other interesting methods and
results related to the study of Yau's conjecture are also discussed.

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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: astro-ph