Inequalities of Willmore type for submanifolds

DOI10.1007/BF01174334zbMath0602.53039MaRDI QIDQ1081850

Ulrich Pinkall

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173781

zbMATH Keywords

conformal invariantsWillmore conjecturetotal absolute curvaturetotal conformal curvature

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

On the origin of phase transitions in the absence of symmetry-breaking ⋮ Variational problems of normal curvature tensor and concircular scalar fields. ⋮ Closed free hyperelastic curves in the hyperbolic plane and Chen-Willmore rotational hyper\-surfaces ⋮ Unnamed Item ⋮ The second variational formula for Willmore submanifolds in \(S^n\). ⋮ Willmore orbits for isometric Lie actions ⋮ An inequality between Willmore functional and Weyl functional for submanifolds in space forms ⋮ Geometrical and topological study of the Kosterlitz–Thouless phase transition in the XY model in two dimensions

Cites Work

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• A Global Invariant of Conformal Mappings in Space