MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Evolution of hypersurfaces in central force fields

Oliver Schnürer and Knut Smoczyk


We consider flows of hypersurfaces in Rn+1 decreasing the energy induced by radially symmetric potentials. These flows are similar to the mean curvature flow but different phenomena occur. We show for a natural class of potentials that hypersurfaces converge smoothly to a uniquely determined sphere if they satisfy a strengthened starshapedness condition at the beginning.


Related publications

2002 Repository Open Access
Oliver C. Schnürer and Knut Smoczyk

Evolution of hypersurfaces in central force fields

In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 550 (2002), pp. 77-95