Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal metric surfaces and the Sobolev-to-Lipschitz property   We find maximal representatives within equivalence classes of metric spheres.
For Ahlfors regular spheres these are uniquely characterized by satisfying the
seemingly unrelated notions of Sobolev-to-Lipschitz property, or volume
rigidity. We also apply our construction to solutions of the Plateau problem in
metric spaces and obtain a variant of the associated intrinsic disc studied by
Lytchak--Wenger, which satisfies a related maximality condition.

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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
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The categories of this paper are: acc-phys