Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Laplacian flow for closed G_2 structures: real analyticity   Let $\varphi(t), t\in [0,T]$ be a smooth solution to the Laplacian flow for
closed G_2 structures on a compact 7-manifold $M$. We show that for each fixed
positive time $t\in (0,T]$, $(M,\varphi(t),g(t))$ is real analytic, where
$g(t)$ is the metric induced by $\varphi(t)$. Consequently, any Laplacian
soliton is real analytic and we obtain unique continuation results for the
flow.

11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph