Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimizers of the Willmore functional under fixed conformal class   We consider the problem of minimizing the Willmore energy in the class of
conformal immersions of a given closed, genus p Riemann surface into R^n for
n=3,4. We prove existence of a smooth minimizer, provided that the infimum is
below a certain bound ${\cal W}(n,p)$. For tori in R^3 we have explicitely
${\cal W}(3,1) = 8\pi$.

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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc