Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On extremal mappings in complex ellipsoids   In the paper we generalize the notion of problem (P) introduced by Poletsky.
We introduce the notion of (P_m) extremals. For example, geodesics are (P_1)
extremals. Using obtained results we present a description of (P_m) extremals
in arbitrary complex ellipsoids. It is a generalization of the result obtained
by Jarnicki-Pflug-Zeinstra. We also have a proof of conjecture put forward by
Pflug-Zwonek concerning the formulas for geodesics in non-convex complex
ellipsoids.

12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat