Eternal Forced Mean Curvature Flows II - Existence

Abstract

We show that under suitable non-degeneracy conditions, complete gradient flow lines of the scalar curvature functional of a riemannian manifold perturb into eternal forced mean curvature flows with large forcing term.

References in corpus (3)

• Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions
• Large outlying stable constant mean curvature spheres in initial data sets
• The Isoperimetric Profile of a Noncompact Riemannian Manifold for Small Volumes