Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Riemannian Geometry of $C^{1,1}$ Manifolds   Riemannian Geometry for $C^{1,1}$ manifolds contains important differences
from that for $C^{2}$ manifolds. This paper develops Riemannian geometry at the
$C^{1,1}$ level of regularity. It is shown that the connection is not symmetric
and this leads to additional terms in curvature tensors, geodesic equations and
the Bianchi identities. Failure to account for these terms leads to nonzero
torsion, affecting everything from geodesics to the Einstein curvature tensor.

20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol