Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds for Jacobian of harmonic injective mappings in n-dimensional
  space   Using normal family arguments, we show that the degree of the first nonzero
homogenous polynomial in the expansion of $n$ dimensional Euclidean harmonic
$K$-quasiconformal mapping around an internal point is odd, and that such a map
from the unit ball onto a bounded convex domain, with $K< 3^{n-1}$, is
co-Lipschitz. Also some generalizations of this result are given, as well as a
generalization of Heinz's lemma for harmonic quasiconformal maps in $\mathbb
R^n$ and related results.

5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th