Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: L2 norm preserving flow in matrix geometry   In this paper, we study L2 norm preserving heat flow in matrix geometry. We
show that this flow preserves the operator convex property and enjoys the
entropy stability in any finite time. Interesting properties of this flow like
conserved trace free property are also derived.

6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas