Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of the isotropic oscillator driven by the conformal mode   Geometrization of a Lagrangian conservative system typically amounts to
reformulating its equations of motion as the geodesic equations in a properly
chosen curved spacetime. The conventional methods include the Jacobi metric and
the Eisenhart lift. In this work, a modification of the Eisenhart lift is
proposed which describes the isotropic oscillator in arbitrary dimension driven
by the one-dimensional conformal mode.

30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int