Geometric Analysis Seminar
speaker: Christian Scharrer (University of Warwick)
title: Isoperimetric constrained Willmore tori
Abstract: In order to explain the bi-concave shape of red blood cells, Helfrich proposed the minimisation of a bending energy amongst closed surfaces with given fixed area and volume. In the homogeneous case, the Helfrich functional reduces to the scaling invariant Willmore functional. Thus, for the minimisation, the constraints on area and volume reduce to a single constraint on the scaling invariant isoperimetric ratio. This talk is about two strict inequalities that lead to existence of isoperimetric constrained Willmore tori.
Tuesday, April 27 at 2:50pm to 4:05pmVirtual Event