Willmore submanifolds of the Möbius space and a Bernstein-type theorem

DOI10.1007/BF02567854zbMath0790.53049MaRDI QIDQ1315089

Marco Rigoli, Isabel M. C. Salavessa

Publication date: 26 June 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155897

zbMATH Keywords

Willmore functionalEuler-Lagrange equationDarboux frameconformal Gauß mapMöbius spacetotally umbilicconformal Grassmannian

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (2)

Variational problems of normal curvature tensor and concircular scalar fields. ⋮ \(F\)-Willmore submanifold in space forms

Cites Work

• A duality theorem for Willmore surfaces
• The conformal Gauss map of submanifolds of the Möbius space
• Submanifolds of the Möbius space
• On a Variational Problem on Hypersurfaces
• A Global Invariant of Conformal Mappings in Space
• Unnamed Item

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