Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polar foliations on symmetric spaces   We prove that a polar foliation of codimension at least three in an
irreducible compact symmetric space is hyperpolar, unless the symmetric space
has rank one. For reducible symmetric spaces of compact type, we derive
decomposition results for polar foliations.

9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys