Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal disks bounded by three straight lines in Euclidean space and
  trinoids in hyperbolic space   Following Riemann's idea, we prove the existence of a minimal disk in
Euclidean space bounded by three lines in generic position and with three
helicoidal ends of angles less than $\pi$. In the case of general angles, we
prove that there exist at most four such minimal disks, we give a sufficient
condition of existence in terms of a system of three equations of degree 2, and
we give explicit formulas for the Weierstrass data in terms of hypergeometric
functions. Finally, we construct constant-mean-curvature-one trinoids in
hyperbolic space by the method of the conjugate cousin immersion.

19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs