5 papers
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow
Elena Mäder-Baumdicker, Jona Seidel
We study the sublevel sets of the Willmore energy on the space of smoothly immersed -spheres in Euclidean -space. We show that the subset of immersions with energy at mos…
A Monotonicity Formula for the Extrinsic Biharmonic Map Heat Flow
Elena Mäder-Baumdicker, Nils Neumann
We explore novel properties of the biharmonic heat kernel on Euclidean space and derive an entropy type quantity for the extrinsic biharmonic map heat flow which exhibits monotonic…
Topology and Embeddedness of Lawson's Bipolar Surfaces in the 5-Sphere
Elena Mäder-Baumdicker, Melanie Rothe
We give a topological classification of Lawson's bipolar minimal surfaces corresponding to his - and -family. Therefrom we deduce upper as well as lower bounds on the area of…
On the Index of Willmore spheres
Jonas Hirsch, Elena Mäder-Baumdicker
We consider unbranched Willmore surfaces in the Euclidean space that arise as inverted complete minimal surfaces with embedded planar ends. Several statements are proven about uppe…
The area preserving curve shortening flow with Neumann free boundary conditions
Elena Mäder-Baumdicker
We study the area preserving curve shortening flow with Neumann free boundary conditions outside of a convex domain in the Euclidean plane. Under certain conditions on the initial…