Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Harmonicity and Differential Equations of a Bertrand Curve   In the present paper, we give new Frenet formulas for the Bertrand partner
curve by taking the advantage of relations between curvatures and a curve
itself. Then making use of these formulas we write the differential equations
and sufficient conditions of harmonicity of the Bertrand partner curve in terms
of the main curve. Finally, we exemplify our assertions on the curve helix to
see how the formulas we developed work.

23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat