Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of isometric maps in the Heisenberg group   In this paper we prove some approximation results for biLipschitz maps in the
Heisenberg group. Namely, we show that a biLipschitz map with biLipschitz
constant close to one can be pointwise approximated, quantitatively on any
fixed ball, by an isometry. This leds to an approximation in BMO norm for the
map's Pansu derivative. We also prove that a global quasigeodesic can be
approximated by a geodesic in any fixed segment.

29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph