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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.DG2025
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…