Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rectifying curves on a smooth surface immersed in the euclidean space   The main objective of the present paper is to investigate a sufficient
condition for which a rectifying curve on a smooth surface remains invariant
under isometry of surfaces, and also it is shown that under such an isometry
the component of the position vector of a rectifying curve on a smooth surface
along the normal to the surface is invariant.

28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ