Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generic singularities of line fields on 2D manifolds   Generic singularities of line fields have been studied for lines of principal
curvature of embedded surfaces. In this paper we propose an approach to
classify generic singularities of general line fields on 2D manifolds. The idea
is to identify line fields as bisectors of pairs of vector fields on the
manifold, with respect to a given conformal structure. The singularities
correspond to the zeros of the vector fields and the genericity is considered
with respect to a natural topology in the space of pairs of vector fields. Line
fields at generic singularities turn out to be topologically equivalent to the
Lemon, Star and Monstar singularities that one finds at umbilical points.

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The categories of this paper are: nlin
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The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: astro-ph