Workshop
Sharp geometric inequalities for curves and surfaces with boundaries
- Alexander Volkmann (Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam, Germany)
Abstract
In this talk we derive some sharp geometric inequalities for compact surfaces with boundaries. Making a new observation, we are able to link these inequalities with the L1-tangent-point energy of closed curves in euclidean space. This enables us to answer a question raised by Strzelecki, Szuma\'nska and von der Mosel. Afterwards, we will present an alternative proof due to Simon Blatt.