Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A conservation approach to helicoidal surfaces of constant mean
  curvature in R^3, S^3 and H^3   We develop a conservation law for constant mean curvature (CMC) surfaces
introduced by Korevaar, Kusner and Solomon, and provide a converse, so as to
characterize CMC surfaces by a conservation law. We work with `twizzler'
construction, which applies a screw-motion to some base curve. We show that,
excluding cylinders, CMC helicoidal surfaces can be completely determined by a
first-order ODE of the base curve. Further, we demonstrate that in R^3 this
condition is equivalent to the treadmillsled characterization of helicoidal CMC
surfaces given by O. Perdomo.

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The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
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The categories of this paper are: comp-gas
16
The categories of this paper are: stat
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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con