Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local existence to the cross curvature flow on 3-manifolds with boundary   In this paper, we use the DeTurck trick to study the short-time existence of
solutions to the Dirichlet and Newmann boundary problems of the cross curvature
flow on 3-manifolds with boundary.

18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio