Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ricci flow on homogeneous spaces with two isotropy summands   We consider the Ricci flow equation for invariant metrics on compact and
connected homogeneous spaces whose isotropy representation decomposes into two
irreducible inequivalent summands. By studying the corresponding dynamical
system, we completely describe the behaviour of the homogeneous Ricci flow on
this kind of spaces. Moreover, we investigate the existence of ancient
solutions and relate this to the existence and non-existence of invariant
Einstein metrics.

10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics