Spacelike mean curvature flow

DOI10.1007/S12220-019-00266-4zbMATH Open1465.53081arXiv1808.01994OpenAlexW3103051348MaRDI QIDQ2659469

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Publication date: 26 March 2021

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Abstract: We prove long-time existence and convergence results for spacelike solutions to mean curvature flow in the pseudo-Euclidean space $mathbb{R}^{n,m}$, which are entire or defined on bounded domains and satisfying Neumann or Dirichlet boundary conditions. As an application, we prove long-time existence and convergence of the $operatorname{G}_2$-Laplacian flow in cases related to coassociative fibrations.

Full work available at URL: https://arxiv.org/abs/1808.01994

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