Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compact homogeneous Riemannian manifolds with low co-index of symmetry   We develop a general structure theory for compact homogeneous Riemannian
manifolds in relation to the co-index of symmetry. We will then use these
results to classify irreducible, simply connected, compact homogeneous
Riemannian manifolds whose co-index of symmetry is less or equal than three. We
will also construct many examples which arise from the theory of polars and
centrioles in Riemannian symmetric spaces of compact type.

11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn