Corpus ID: 224707516

The Lawson surfaces are determined by their symmetries and topology.

@article{Kapouleas2020TheLS,
  title={The Lawson surfaces are determined by their symmetries and topology.},
  author={N. Kapouleas and David Wiygul},
  journal={arXiv: Differential Geometry},
  year={2020}
}
We prove that a closed embedded minimal surface in the round three-sphere which satisfies the symmetries of a Lawson surface and has the same genus is congruent to the Lawson surface. 
On the Willmore problem for surfaces with symmetry
The Willmore Problem seeks the surface in S ⊂ R of a given topological type minimizing the squared-mean-curvature energy W = ∫ |HR4 | = area + ∫ H S3 . The longstanding Willmore Conjecture that theExpand

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