Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Collapse of the mean curvature flow for equifocal submanifolds   In this paper, we investigate the mean curvature flows for an equifocal
submanifold in a symmetric space of compact type and its focal submanifolds as
initial data. It is known that equifocal submanifolds of codimension greater
than one in irreducible symmetric spaces of compact type occur as principal
orbits of Hermann actions. However, we investigate the flows conceptionally
without use of this fact. Concretely the investigation is performed by
investigating the mean curvature flows having the lifts of the submanifolds to
an (infinite deiminsional separable) Hilbert space through a Riemannian
submersion as initial data.

32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol