Sebastian Heller

activity

20182022

most citedRectangular constrained Willmore minimizers and the Willmore conjecture

1 citations · 1 across the 3 of their papers we have counts for

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math.DG2022

Fuchsian DPW potentials for Lawson surfaces

Lynn Heller, Sebastian Heller

The Lawson surfaces $ξ_{1, g}$ of genus $g$ are constructed by rotating and reflecting the Plateau solution $f_{t}$ with respect to a particular geodesic $4$ -gon $Γ_{t}$ along its bound…

math.DG2020

Willmore spheres in the 3-sphere revisited

Sebastian Heller

Bryant \cite{Bryant84} classified all Willmore spheres in $3$ -space to be given by minimal surfaces in $R^{3}$ with embedded planar ends. This note provides new explicit form…

math.DG2019

Minimal n-Noids in hyperbolic and anti-de Sitter 3-space

Alexander I. Bobenko, Sebastian Heller, Nicholas Schmitt

We construct minimal surfaces in hyperbolic and anti-de Sitter 3-space with the topology of a $n$ -punctured sphere by loop group factorization methods. The end behavior of the surf…

math.DG2019★ 1 cited

Rectangular constrained Willmore minimizers and the Willmore conjecture

Lynn Heller, Sebastian Heller, Cheikh Birahim Ndiaye

We show that the well-known family of $2$ -lobed Delaunay tori $f^{b}$ in $S^{3},$ parametrized by $b \in R_{\geq 1},$ uniquely minimizes the Willmore energy among al…

math.DG2018

Real holomorphic sections of the Deligne-Hitchin twistor space

Indranil Biswas, Sebastian Heller, Markus Roeser

We study the holomorphic sections of the Deligne-Hitchin moduli space of a compact Riemann surface that are invariant under the natural anti-holomorphic involutions of the moduli s…