11 research outputs found
Non-scale-invariant inverse curvature flows in Euclidean space
We consider the inverse curvature flows of closed
star-shaped hypersurfaces in Euclidean space in case and prove that
the flow exists for all time and converges to infinity, if , while in
case , the flow blows up in finite time, and where we assume the initial
hypersurface to be strictly convex. In both cases the properly rescaled flows
converge to the unit sphere.Comment: 21 pages, this is the published versio