Geometric Flow Equations

Abstract

In this minicourse, we study hypersurfaces that solve geometric evolution equations. More precisely, we investigate hypersurfaces that evolve with a normal velocity depending on a curvature function like the mean curvature or Gaus curvature. In three lectures, we address hypersurfaces, principal curvatures and evolution equations for geometric quantities like the metric and the second fundamental form. the convergence of convex hypersurfaces to round points. Here, we will also show some computer algebra calculations. the evolution of graphical hypersurfaces under mean curvature flow.