Reduction of variables for Willmore-Chen submanifolds in seven spheres

DOI10.1007/BF02780171zbMath0946.53027OpenAlexW2022129975MaRDI QIDQ1961338

Yanyan Li

Publication date: 8 October 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02780171

zbMATH Keywords

Willmore functionalHopf fibrationelasticaKaluza-Klein metricelastic energy functionalWillmore-Chen submanifold

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (1)

Willmore tori in a wide family of conformal structures on odd dimensional spheres

Cites Work

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• The total squared curvature of closed curves
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• Elasticae with constant slant in the complex projective plane and new examples of Willmore tori in five spheres
• On completeness of certain families of semi-Riemannian manifolds
• Elasticae in a Riemannian submanifold
• Stationary 2-type surfaces in a hypersphere
• Reduction of the codimension of an isometric immersion
• Test fields on compact space-times
• Curves in the Hyperbolic Plane and mean Curvature of Tori in 3-Space
• Knotted Elastic Curves in R ³
• Willmore tori in non-standard 3-spheres
• Free elasticae and Willmore tori in warped product spaces
• Lawson-type problems in non-standard 3-spheres

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