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Spacelike Mean Curvature Flow

Lambert, B; Lotay, JD; (2019) Spacelike Mean Curvature Flow. Journal of Geometric Analysis 10.1007/s12220-019-00266-4. Green open access

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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 Rn,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-Laplacian flow in cases related to coassociative fibrations.

Type: Article
Title: Spacelike Mean Curvature Flow
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/s12220-019-00266-4
Publisher version: https://doi.org/10.1007/s12220-019-00266-4
Language: English
Additional information: This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
Keywords: Mean curvature flow, G2 -Laplacian flow, Boundary conditions, Coassociative fibrations
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10086618
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