Soliton solutions for the mean curvature flow
Norbert Hungerbühler and Knut Smoczyk
Contact the author: Please use for correspondence this email.
Submission date: 18. Oct. 1998
published in: Differential and integral equations, 13 (2000) 10/12, p. 1321-1345
We consider soliton solutions of the mean curvature flow, i.e. solutions which move by a symmetry group under the mean curvature flow. Several examples of solitons on manifolds are discussed. Moreover we present a local existence result for rotating solitons. We also prove global existence and stability for perturbed initial data close to a local soliton.