Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic extensions of constant mean curvature one geometric catenoids
  in de Sitter 3-space   Roughly speaking, the image of a real analytic map is called "analytically
complete" if the map admits no analytic extension. We define arc-properness of
continuous maps, which can be considered as a very weak version of properness,
and use this concept to give a useful criterion for analytic completeness. As
an application, we judge the analytic completeness of a certain class of
constant mean curvature surfaces (the so-called "G-catenoids") or their
analytic extensions in the de Sitter 3-space.

0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th