Isothermic constrained Willmore tori in 3-space

Isothermic constrained Willmore tori in 3-space

We show that the homogeneous and the 2-lobe Delaunay tori in the 3-sphere provide the only isothermic constrained Willmore tori in 3-space with Willmore energy below 8 π . In particular, every constrained Willmore torus with Willmore energy below 8 π and non-rectangular conformal class is non-degene...

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Veröffentlicht in:Annals of global analysis and geometry 2021-09, Vol.60 (2), p.231-251
Hauptverfasser: Heller, Lynn, Heller, Sebastian, Ndiaye, Cheikh Birahim
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Differential Geometry
Energy
Geometry
Global Analysis and Analysis on Manifolds
Lagrange multiplier
Mathematical Physics
Mathematics
Mathematics and Statistics
Toruses
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Zusammenfassung:We show that the homogeneous and the 2-lobe Delaunay tori in the 3-sphere provide the only isothermic constrained Willmore tori in 3-space with Willmore energy below 8 π . In particular, every constrained Willmore torus with Willmore energy below 8 π and non-rectangular conformal class is non-degenerated.
ISSN:0232-704X
1572-9060
DOI:10.1007/s10455-021-09778-1