The inverse Willmore flow

Abstract

Instead of investigating the Willmore flow for two-dimensional, closed immersed surfaces directly we turn to its inversion. We give a lower bound on the lifespan of this inverse Willmore flow, depending on the concentration of curvature in space and the extension of the initial surface, as well as a characterization of its breakdown, which might occur in finite time.

Cited by in corpus (1)

• Global existence and full convergence of the Möbius-invariant Willmore flow in the $3$-sphere