Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complete k-curvature homogeneous pseudo-Riemannian manifolds 0-modeled
  on an indecomposible symmetric space   For k at least 2, we exhibit complete k-curvature homogeneous neutral
signature pseudo-Riemannian manifolds which are not locally affine homogeneous
(and hence not locally homogeneous). The curvature tensor of these manifolds is
modeled on that of an indecomposible symmetric space. All the local scalar Weyl
curvature invariants of these manifolds vanish.

26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph