Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a classification theorem for self-shrinkers   We generalize a classification result for self-shrinkers of the mean
curvature flow with nonnegative mean curvature, which was obtained by T.
Colding and W. Minicozzi, replacing the assumption on polynomial volume growth
with a weighted $L^2$ condition on the norm of the second fundamental form. Our
approach adopt the viewpoint of weighted manifolds and permits also to recover
and to extend some others recent classification and gap results for
self-shrinkers.

20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess