Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A_2-singularities of hypersurfaces with non-negative sectional curvature
  in Euclidean space   In a previous work, the authors gave a definition of `front bundles'. Using
this, we give a realization theorem for wave fronts in space forms, like as in
the fundamental theorem of surface theory. As an application, we investigate
the behavior of principal singular curvatures along A_2-singularities of
hypersurfaces with non-negative sectional curvature in Euclidean space.

36
The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin