Special Session 88: 

The Willmore functional and ambient scalar curvature

Jan Metzger
Univerity of Potsdam
Germany
Co-Author(s):    Tobias Lamm and Felix Schulze
Abstract:
In this talk I will consider the Willmore functional and related variational problems for surfaces embedded into targets with non-flat Riemannian metrics. The main focus is the interaction of intrinsic and extrinsic curvature quantities. More specifially, we study the position of surfaces critical for the Willmore functional subject to an area constraint with respect to the ambient scalar curvature.