Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interpolation by conformal minimal surfaces and directed holomorphic
  curves   Let $M$ be an open Riemann surface and $n\ge 3$ be an integer. We prove that
on any closed discrete subset of $M$ one can prescribe the values of a
conformal minimal immersion $M\to\mathbb{R}^n$. Our result also ensures
jet-interpolation of given finite order, and hence, in particular, one may in
addition prescribe the values of the generalized Gauss map. Furthermore, the
interpolating immersions can be chosen to be complete, proper into
$\mathbb{R}^n$ if the prescription of values is proper, and one-to-one if $n\ge
5$ and the prescription of values is one-to-one. We may also prescribe the flux
map of the examples.
  We also show analogous results for a large family of directed holomorphic
immersions $M\to\mathbb{C}^n$, including null curves.

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The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
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The categories of this paper are: stat
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc