Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Five-Dimensional Tangent Vectors in Space-Time: IV. Generalization of
  Exterior Calculus   This part of the series is devoted to the generalization of exterior
differential calculus. I give definition to the integral of a five-vector form
over a limited space-time volume of appropriate dimension; extend the notion of
the exterior derivative to the case of five-vector forms; and formulate the
corresponding analogs of the generalized Stokes theorem and of the Poincare
theorem about closed forms. I then consider the five-vector generalization of
the exterior derivative itself; prove a statement similar to the Poincare
theorem; define the corresponding five-vector generalization of flux; and
derive the analog of the formula for integration by parts. I illustrate the
ideas developed in this paper by reformulating the Lagrange formalism for
classical scalar fields in terms of five-vector forms. In conclusion, I briefly
discuss the five-vector analog of the Levi-Civita tensor and dual forms.

15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs