2015/08/31 by Martin Mayer, Mayer, Martin
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities #math.DG
paper · pdf · doi:10.48550/arxiv.1508.07800
arxiv created 2015/09/01 · arxiv updated 2015/09/02
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.