Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On curvature pinching of conic 2-spheres   We study metrics on conic 2-spheres when no Einstein metrics exist. In
particular, when the curvature of a conic metric is positive, we obtain the
best curvature pinching constant. We also show that when this best pinching
constant is approached, the conic 2-sphere has an explicit Gromov-Hausdorff
limit. This is a generalization of the previous results of Chen-Lin and
Bartolucci for 2-spheres with one or two conic points.

10
The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
16
The categories of this paper are: stat