Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on the completeness of trajectories of accelerated particles in
  Riemannian manifolds and plane waves   Recently, classical results on completeness of trajectories of Hamiltonian
systems obtained at the beginning of the seventies, have been revisited,
improved and applied to Lorentzian Geometry. Our aim here is threefold: to give
explicit proofs of some technicalities in the background of the specialists, to
show that the introduced tools allow to obtain more results for the
completeness of the trajectories, and to apply these results to the
completeness of spacetimes that generalize classical plane and pp-waves.

20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ