Free elasticae and Willmore tori in warped product spaces

DOI10.1017/S0017089500032596zbMath0912.53044MaRDI QIDQ4400165

Manuel Barros

Publication date: 25 May 1999

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

elastic curvesWillmore torusfree elasticawarped product space

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (3)

Geometry and dynamics of relativistic particles with rigidity ⋮ Reduction of variables for Willmore-Chen submanifolds in seven spheres ⋮ Willmore tori and Willmore-Chen submanifolds in pseudo-Riemannian spaces

Cites Work

• Unnamed Item
• Hopf tori in \(S^ 3\)
• Stationary 2-type surfaces in a hypersphere
• Curves in the Hyperbolic Plane and mean Curvature of Tori in 3-Space
• Willmore tori in non-standard 3-spheres

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