Banachraum

A classical inequality of Li and Yau gives a lower bound on the Willmore energy of a surface in terms of its multiplicity at an arbitrary point. We discuss recent extensions to other curvature-dependent bending energies, such as Euler's elastic energy or the Canham-Helfrich functional. Additionally, we illustrate applications to geometric flows and the regularity of minimizers.

Fabian Rupp

Wien