Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Metric Independent Analysis of Second Order Stresses   A metric independent geometric analysis of second order stresses in continuum
mechanics is presented. For a vector bundle $W$ over the $n$-dimensional space
manifold, the value of a second order stress at a point $x$ in space is
represented mathematically by a linear mapping between the second jet space of
$W$ at $x$ and the space of $n$-alternating tensors at $x$. While only limited
analysis can be performed on second order stresses as such, they may be
represented by non-holonomic stresses, whose values are linear mapping defined
on the iterated jet bundle, $J^{1}(J^{1}W)$, and for which an iterated analysis
for first order stresses may be performed. As expected, we obtain the surface
interactions on the boundaries of regions in space.

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The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org