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arXiv · 1601.04258

Laplacian flow for closed G_2 structures: real analyticity

Jason D. Lotay·Yong Wei
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Abstract

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.

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Jason D. Lotay, Yong Wei. 2016-01-17. Laplacian flow for closed G_2 structures: real analyticity. https://doi.org/10.4310/cag.2019.v27.n1.a3

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