Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinitesimal isometries on developable surfaces and asymptotic theories
  for thin developable shells   We perform a detailed analysis of first order Sobolev-regular infinitesimal
isometries on developable surfaces without affine regions. We prove that given
enough regularity of the surface, any first order infinitesimal isometry can be
matched to an infinitesimal isometry of an arbitrarily high order. We discuss
the implications of this result for the elasticity of thin developable shells.

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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an