4 papers
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…
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…
Geometry of complete minimal surfaces at infinity and the Willmore index of their inversions
Jonas Hirsch, Rob Kusner, Elena Mäder-Baumdicker
We study complete minimal surfaces in with finite total curvature and embedded planar ends. After conformal compactification via inversion, these yield examples of s…
A note on Willmore minimizing Klein bottles in Euclidean space
J. Hirsch, E. Mäder-Baumdicker
We show that Lawson's bipolar surface is after stereographic projection the unique minimizer among immersed Klein bottles in its conformal class. We conjecture that…