Communications in Analysis and Geometry
Volume 11 (2003)
Evolution of radial graphs in hyperbolic space by their mean curvature
Pages: 675 – 698
We consider the evolution of a surface F : Mn ↦ ℋn+1 in hyperbolic space by mean curvature flow. That is, we study the one parameter family Ft = F(., t) of immersions with corresponding images Mt = F t (Mn) such that
δ / δt F(p, t) =ℋ(p, t), p ∈ Mn
F(p, 0) = F0(p)
where ℋ(p, t) is the mean curvature vector of the hypersurface Mt at F(p, t) in hyperbolic space.