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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 $$8\pi $$ 8 π… Click to show full abstract
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 $$8\pi $$ 8 π . In particular, every constrained Willmore torus with Willmore energy below $$8\pi $$ 8 π and non-rectangular conformal class is non-degenerated.
Keywords:
tori space;
geometry;
isothermic constrained;
willmore tori;
constrained willmore
Journal Title: Annals of Global Analysis and Geometry
Year Published: 2021
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Journal Title: Annals of Global Analysis and Geometry
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!