Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic mean curvature flows in K\"ahler surfaces with positive
  holomorphic sectional curvatures   In this paper, we mainly study the mean curvature flow in K\"ahler surfaces
with positive holomorphic sectional curvatures. We prove that if the ratio of
the maximum and the minimum of the holomorphic sectional curvatures is less
than 2, then there exists a positive constant $\delta$ depending on the ratio
such that $\cos\alpha\geq\delta$ is preserved along the flow.

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The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
12
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: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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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: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess