Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ribaucour coordinates   We discuss results for the Ribaucour transformation of curves or of higher
dimensional smooth and discrete submanifolds. In particular, a result for the
reduction of the ambient dimension of a submanifold is proved and the notion of
Ribaucour coordinates is derived using a Bianchi permutability result. Further,
we discuss smoothing of semi-discrete curvature line nets and an interpolation
by Ribaucour transformations.

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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics