Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear Strain Tensors on Hyperbolic Surfaces and Asymptotic Theories for
  Thin Shells   We perform a detailed analysis of the solvability of linear strain equations
on hyperbolic surfaces. We prove that if the surface is a smooth
noncharacteristic region, any first order infinitesimal isometry can be matched
to an infinitesimal isometry of an arbitrarily high order. The implications of
this result for the elasticity of thin hyperbolic shells are discussed.

13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
16
The categories of this paper are: stat