Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some examples of the behaviour of conformal geodesics   With the aid of concrete examples, we consider the question of whether, in
the presence of conformal curvature, a conformal geodesic can become trapped in
smaller and smaller sets, or phrased informally: are spirals possible? We do
not arrive at a definitive answer, but we are able to find situations where
this behaviour is ruled out, including a reduction of the conformal-geodesic
equations to quadratures in a specific non-conformally flat metric.

29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph