Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonrelativistic Geodesic Motion   We show that any second order dynamic equation on a configuration space $X\to
R$ of nonrelativistic mechanics can be seen as a geodesic equation with respect
to some (nonlinear) connection on the tangent bundle $TX\to X$ of relativistic
velocities. We compare relativistic and nonrelativistic geodesic equations, and
study the Jacobi vector fields along nonrelativistic geodesics.

6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics