4 research outputs found
Pinching and Asymptotical Roundness for Inverse Curvature Flows in Euclidean Space
We consider inverse curvature flows in the -dimensional Euclidean
space, expanding by arbitrary negative powers of a 1-homogeneous,
monotone curvature function with some concavity properties. We obtain
asymptotical roundness, meaning that circumradius minus inradius of the flow
hypersurfaces decays to zero and that the flow becomes close to a flow of
spheres.Comment: 13 pages. In this final version we were able to remove the dimension
restrictions which had to be imposed in the former versions. Comments,
discussions or suggestions are welcom