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MiS Preprint
89/2000

Evolution of hypersurfaces in central force fields

Oliver Schnürer and Knut Smoczyk

Abstract

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.

Received:
Jan 15, 2001
Published:
Jan 15, 2001

Related publications

inJournal
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