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arXiv · 2608.26042

$G_2$-Laplacian flow on complete asymptotically conical manifolds

Ilyas Khan
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Abstract

This paper proves the short-time existence of $G_2$-Laplacian flow for closed, asymptotically conical $G_2$-structures on a complete manifold, shows that this solution is unique among closed solutions, and gives a lower bound for the existence time depending on the initial geometry.

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Ilyas Khan. 2026-08-26. $G_2$-Laplacian flow on complete asymptotically conical manifolds. https://arxiv.org/abs/2608.26042

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