Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Einstein hypersurfaces in irreducible symmetric spaces   We show that if $M$ is an Einstein hypersurface in an irreducible Riemannian
symmetric space $\overline{M}$ of rank greater than $1$ (the classification in
the rank-one case was previously known), then either $\overline{M}$ is of
noncompact type and $M$ is a codimension one Einstein solvmanifold, or
$\overline{M}=\mathrm{SU}(3)/\mathrm{SO}(3)$ (respectively,
$\overline{M}=\mathrm{SL}(3)/\mathrm{SO}(3)$) and $M$ is foliated by totally
geodesic spheres (respectively, hyperbolic planes) of $\overline{M}$, with the
space of leaves parametrised by a special Legendrian surface in $S^5$
(respectively, by a proper affine sphere in $\mathbb{R}^3$).

3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio