Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The stability of standard homogeneous Einstein manifolds   Back in 1985, Wang and Ziller obtained a complete classification of all
homogeneous spaces of compact simple Lie groups on which the standard or
Killing metric is Einstein. The list consists, beyond isotropy irreducible
spaces, of 12 infinite families (two of them are actually conceptual
constructions) and 22 isolated examples. We study in this paper the nature of
each of these Einstein metrics as a critical point of the scalar curvature
functional.

31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
3
The categories of this paper are: physics