R. Kusner

activity

19942026

most citedTopological colloids

328 citations · 682 across the 29 of their papers we have counts for

collaborators

Showing 2024 · math.DGShow all

2 papers · 2 filters

math.DG2024

The Willmore problem for surfaces with symmetry

Rob Kusner, Ying Lü, Peng Wang

The Willmore Problem seeks closed surfaces in $S^{3} \subset R^{4}$ of a given topological type minimizing the squared-mean-curvature energy $W = \int |H_{\mathbb{R}^4}…

math.DG2024

Embedded minimal surfaces in $S^{3}$ and $B^{3}$ via equivariant eigenvalue optimization

Mikhail Karpukhin, Robert Kusner, Peter McGrath +1

In 1970, Lawson solved the topological realization problem for minimal surfaces in the sphere, showing that any closed orientable surface can be minimally embedded in $\mathbb{S}^3…

The Willmore problem for surfaces with symmetry

Embedded minimal surfaces in S3 and B3 via equivariant eigenvalue optimization

Embedded minimal surfaces in $S^{3}$ and $B^{3}$ via equivariant eigenvalue optimization