The perpendicular Neumann problem for mean curvature flow with a timelike cone boundary condition
Differential Geometry
2018-12-14 v2
Abstract
This paper demonstrates existence for all time of mean curvature flow in Minkowski space with a perpendicular Neumann boundary condition, where the boundary manifold is a convex cone and the flowing manifold is initially spacelike. Using a blowdown argument, we show that under renormalisation this flow converges towards a homothetically expanding hyperbolic solution.
Keywords
Cite
@article{arxiv.1108.3273,
title = {The perpendicular Neumann problem for mean curvature flow with a timelike cone boundary condition},
author = {Ben Lambert},
journal= {arXiv preprint arXiv:1108.3273},
year = {2018}
}