11 citations · 31 across the 20 of their papers we have counts for
5 papers · 1 filter
Area Estimates for High genus Lawson surfaces via DPW
Lynn Heller, Sebastian Heller, Martin Traizet
Starting at a saddle tower surface, we give a new existence proof of the Lawson surfaces of high genus by deforming the corresponding DPW potential. As a byproduct, we ob…
Stability properties of 2-lobed Delaunay tori in the 3-sphere
Lynn Heller, Sebastian Heller, Cheikh Birahim Ndiaye
We show that the of 2-lobed Delaunay tori are stable as constrained Willmore surfaces in the 3-sphere.
Isothermic constrained Willmore tori in 3-space
Lynn Heller, Sebastian Heller, Cheikh Birahim Ndiaye
We show that the homogeneous and the 2-lobe Delaunay tori in the 3-sphere provide the only isothermic constrained Willmore tori in 3-space with Willmore energy below . In parti…
Rectangular constrained Willmore minimizers and the Willmore conjecture
Lynn Heller, Sebastian Heller, Cheikh Birahim Ndiaye
We show that the well-known family of -lobed Delaunay tori in parametrized by uniquely minimizes the Willmore energy among al…
Candidates for non-rectangular constrained Willmore minimizers
Lynn Heller, Cheikh Birahim Ndiaye
For every fixed, we explicitly construct -dimensional families of embedded constrained Willmore tori parametrized by their conformal class \; with $\; a \sim_…