Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On relation between rational and differential rational invariants of
  surfaces with respect to the motion groups   The description of invariants of surfaces with respect to the motion groups
is reduced to the description of invariants of parameterized surfaces with
respect to the motion groups. Existence of a commuting system of invariant
partial differential operators (derivatives) and a finite system of invariants,
such that any invariant of the surface is a function of these invariants and
their invariant derivatives, is shown. The offered method is applicable in more
general settings than the "Moving Frame Method" does in differential geometry.

37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph