English

Spacelike mean curvature flow

Differential Geometry 2021-12-16 v2

Abstract

We prove long-time existence and convergence results for spacelike solutions to mean curvature flow in the pseudo-Euclidean space Rn,m\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 G2\operatorname{G}_2-Laplacian flow in cases related to coassociative fibrations.

Keywords

Cite

@article{arxiv.1808.01994,
  title  = {Spacelike mean curvature flow},
  author = {Ben Lambert and Jason D. Lotay},
  journal= {arXiv preprint arXiv:1808.01994},
  year   = {2021}
}

Comments

This is a pre-print of an article published in The Journal of Geometric Analysis. The final authenticated version is available online at: https://doi.org/10.1007/s12220-019-00266-4

R2 v1 2026-06-23T03:25:43.453Z