The inverse Willmore flow
Differential Geometry
2015-09-02 v2
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.
Cite
@article{arxiv.1508.07800,
title = {The inverse Willmore flow},
author = {Martin Mayer},
journal= {arXiv preprint arXiv:1508.07800},
year = {2015}
}