The Lawson surfaces are determined by their symmetries and topology
-
Nikolaos Kapouleas
and
David Wiygul
Abstract
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.
Acknowledgements
This article was motivated by questions asked by Antonio Ros in discussions with Nikolaos Kapouleas during a visit to the Math Institute of the University of Granada in June 2019. Nikolaos Kapouleas would like to thank also the Math Institute for their hospitality.
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Articles in the same Issue
- Frontmatter
- Simultaneous supersingular reductions of CM elliptic curves
- Almost all entries in the character table of the symmetric group are multiples of any given prime
- K-stability of cubic fourfolds
- Nguyen’s tridents and the classification of semigraphical translators for mean curvature flow
- A description of monodromic mixed Hodge modules
- The Lawson surfaces are determined by their symmetries and topology
- CMC hypersurfaces with bounded Morse index
- On Montgomery’s pair correlation conjecture: A tale of three integrals
- Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups
Articles in the same Issue
- Frontmatter
- Simultaneous supersingular reductions of CM elliptic curves
- Almost all entries in the character table of the symmetric group are multiples of any given prime
- K-stability of cubic fourfolds
- Nguyen’s tridents and the classification of semigraphical translators for mean curvature flow
- A description of monodromic mixed Hodge modules
- The Lawson surfaces are determined by their symmetries and topology
- CMC hypersurfaces with bounded Morse index
- On Montgomery’s pair correlation conjecture: A tale of three integrals
- Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups
