Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete channel surfaces   We present a definition of discrete channel surfaces in Lie sphere geometry,
which reflects several properties for smooth channel surfaces. Various sets of
data, defined at vertices, on edges or on faces, are associated with a discrete
channel surface that may be used to reconstruct the underlying particular
discrete Legendre map. As an application we investigate isothermic discrete
channel surfaces and prove a discrete version of Vessiot's Theorem.

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The categories of this paper are: cs
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn