Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Normal curves on a smooth immersed surface   The aim of this paper is to investigate the sufficient condition for the
invariance of a normal curve on a smooth immersed surface under isometry. We
also find the the deviations of the tangential and normal components of the
curve with respect to the given isometry.

8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int