activity
20182022
most citedRectangular constrained Willmore minimizers and the Willmore conjecture

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

collaborators

7 papers

math.DG2022

Fuchsian DPW potentials for Lawson surfaces

Lynn Heller, Sebastian Heller

The Lawson surfaces of genus are constructed by rotating and reflecting the Plateau solution with respect to a particular geodesic -gon along its bound…

math.AG2021

Holomorphic -systems with Fuchsian monodromy (with an appendix by Takuro Mochizuki)

Indranil Biswas, Sorin Dumitrescu, Lynn Heller +1

For every integer we show the existence of a compact Riemann surface of genus such that the rank two trivial holomorphic vector bundle ${\mathcal O}^{\oplus…

math.AG2020

On certain Tannakian categories of integrable connections over Kaehler manifolds

Indranil Biswas, João Pedro dos Santos, Sorin Dumitrescu +1

Given a compact Kaehler manifold X, it is shown that pairs of the form (E, D), where E is a trivial holomorphic vector bundle on X, and D is an integrable holomorphic connection on…

math.DG2020

Willmore spheres in the 3-sphere revisited

Sebastian Heller

Bryant \cite{Bryant84} classified all Willmore spheres in -space to be given by minimal surfaces in 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 -punctured sphere by loop group factorization methods. The end behavior of the surf…

math.DG20191 cited

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…