Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformation Minimal Bending of Compact Manifolds: Case of Simple Closed
  Curves   The problem of minimal distortion bending of smooth compact embedded
connected Riemannian $n$-manifolds $M$ and $N$ without boundary is made precise
by defining a deformation energy functional $\Phi$ on the set of
diffeomorphisms $\diff(M,N)$. We derive the Euler-Lagrange equation for $\Phi$
and determine smooth minimizers of $\Phi$ in case $M$ and $N$ are simple closed
curves.

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The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: econ