328 citations · 682 across the 29 of their papers we have counts for
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math.DG2021
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…
math.DG2021
On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio
Robert Kusner, Peter McGrath
Building on work of Mondino-Scharrer, we show that among closed, smoothly embedded surfaces in of genus and given isoperimetric ratio , there exists one with…
math.DG2021
On the Willmore problem for surfaces with symmetry
Rob Kusner, Peng Wang
The Willmore Problem seeks the surface in of a given topological type minimizing the squared-mean-curvature energy $W = \int |\mathbf{H}_{\mathbb{R}…