Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-similar solutions to the mean curvature flows on Riemannian cone
  manifolds and special Lagrangians on toric Calabi-Yau cones   The self-similar solutions to the mean curvature flows have been defined and
studied on the Euclidean space. In this paper we initiate a general treatment
of the self-similar solutions to the mean curvature flows on Riemannian cone
manifolds. As a typical result we extend the well-known result of Huisken about
the asymptotic behavior for the singularities of the mean curvature flows. We
also extend the results on special Lagrangian submanifolds on $\mathbb C^n$ to
the toric Calabi-Yau cones over Sasaki-Einstein manifolds.

22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat