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