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math.DG2017
First explicit constrained Willmore minimizers of non-rectangular conformal class
Lynn Heller, Cheikh Birahim Ndiaye
We study immersed tori in -space minimizing the Willmore energy in their respective conformal class. Within the rectangular conformal classes with the…
math.DG2017
Towards a constrained Willmore conjecture
Lynn Heller, Franz Pedit
We give an overview of the constrained Willmore problem and address some conjectures arising from partial results and numerical experiments. Ramifications of these conjectures woul…