Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformation surfaces, integrable systems and Chern - Simons theory   A few years ago, some of us devised a method to obtain integrable systems in
(2+1)-dimensions from the classical non-Abelian pure Chern-Simons action via
reduction of the gauge connection in Hermitian symmetric spaces. In this paper
we show that the methods developed in studying classical non-Abelian pure
Chern-Simons actions, can be naturally implemented by means of a geometrical
interpretation of such systems. The Chern-Simons equation of motion turns out
to be related to time evolving 2-dimensional surfaces in such a way that these
deformations are both locally compatible with the Gauss-Mainardi-Codazzi
equations and completely integrable. The properties of these relationships are
investigated together with the most relevant consequences. Explicit examples of
integrable surface deformations are displayed and discussed.

6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph