Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean curvature flow of certain kind of isoparametric foliations on
  non-compact symmetric spaces   In this paper, we investigate the mean curvature flows starting from all
non-minimal leaves of the isoparametric foliation given by a certain kind of
solvable group action on a symmetric space of non-compact type. We prove that
the mean curvature flow starting from each non-minimal leaf of the foliation
exists in infinite time, if the foliation admits no minimal leaf, then the flow
asymptotes the self-similar flow starting from another leaf, and if the
foliation admits a minimal leaf (in this case, it is shown that there exists
the only one minimal leaf), then the flow converges to the minimal leaf of the
foliation in $C^{\infty}$-topology.

26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat