Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal surfaces and harmonic diffeomorphisms from the complex plane
  onto a Hadamard surface   We construct harmonic diffeomorphisms from the complex plane $C$ onto any
Hadamard surface $M$ whose curvature is bounded above by a negative constant.
For that, we prove a Jenkins-Serrin type theorem for minimal graphs in $M\times
R$ over domains of $M$ bounded by ideal geodesic polygons and show the
existence of a sequence of minimal graphs over polygonal domains converging to
an entire minimal graph in $M\times R$ with the conformal structure of $C$.

20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org