Real analyticity of the modified Laplacian coflow

Abstract

Let (M,ψ(t))_{t\in[0, T]} be a solution of the modified Laplacian coflow (1.3) with coclosed G_{2}-structures on a compact 7-dimensional M. We improve Chen's Shi-type estimate [5] for this flow, and then show that (M,ψ(t),g_ψ(t)) is real analytic, where g_ψ(t) is the associate Riemannian metric to ψ(t), which answers a question proposed by Grigorian in [13]. Consequently, we obtain the unique-continuation results for this flow.