Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Projectively flat general $(\alpha,\beta)$-metrics with constant flag
  curvature   In this paper we study the flag curvature of a particular class of Finsler
metrics called general $(\alpha,\beta)$-metrics, which are defined by a
Riemannian metric $\alpha$ and a $1$-form $\beta$. The classification of such
metrics with constant flag curvature are completely determined under some
suitable conditions, which make them be locally projectively flat. As a result,
we construct some new projectively flat Finsler metrics with flag curvature
$1$, $0$ and $-1$, all of which are of singularity at some directions.

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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat