3 papers
math.DG2025
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…
math.DG2022
Nonlocal estimates for the Volume Preserving Mean Curvature Flow and applications
Ben Lambert, Elena Mäder-Baumdicker
We obtain estimates on nonlocal quantities appearing in the Volume Preserving Mean Curvature Flow (VPMCF) in the closed, Euclidean setting. As a result we demonstrate that blowups…
math.DG2022
A note on Alexandrov immersed mean curvature flow
Ben Lambert, Elena Mäder-Baumdicker
We demonstrate that the property of being Alexandrov immersed is preserved along mean curvature flow. Furthermore, we demonstrate that mean curvature flow techniques for mean conve…