3 papers
math.DG2026
Nonorientable Minimal Surfaces Embedded in the Round -sphere
Mikhail Karpukhin, Robert Kusner, Peter McGrath +1
We show that every closed, nonorientable surface can be minimally embedded in , providing in particular the first known examples of embedded, nonorientable minimal su…
math.DG2024
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.DG2024
On the index of minimal 2-tori in the 4-sphere
Rob Kusner, Peng Wang
In this note we prove that any minimal -torus in has Morse index at least , with equality if and only if it is congruent to the Clifford torus in some great $S^3\subset…