The perpendicular Neumann problem for mean curvature flow with a timelike cone boundary condition

Details The perpendicular Neumann problem for mean curvature flow with a timelike cone boundary condition The perpendicular Neumann problem for mean curvature flow with a timelike cone boundary condition

2011-08-16

arxiv.org/abs/1108.3273v2

Mathematics

Differential Geometry

Scientific paper

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.

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