Preprint 89/2000

Evolution of hypersurfaces in central force fields

Oliver Schnürer and Knut Smoczyk

Contact the author: Please use for correspondence this email.
Submission date: 15. Jan. 2001
Pages: 25
published in: Journal für die reine und angewandte Mathematik, 550 (2002), p. 77-95 
Download full preprint: PDF (363 kB), PS ziped (170 kB)

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.

03.04.2017, 12:08