Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A general variational formulation for relativistic mechanics based on
  fundamentals of differential geometry   The first part of this article develops a variational formulation for
relativistic mechanics. The results are established through standard tools of
variational analysis and differential geometry. The novelty here is that the
main motion manifold has a $n+1$ dimensional range. It is worth emphasizing in
a first approximation we have neglected the self-interaction energy part. In
its second part, this article develops some formalism concerning the causal
structure in a general space-time manifold. Finally, the last article section
presents a result concerning the existence of a generalized solution for the
world sheet manifold variational formulation.

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The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci