Global results on Bonnet surfaces

DOI10.1007/BF01228686zbMath0949.53004OpenAlexW1977056632MaRDI QIDQ1299946

Ioannis M. Roussos

Publication date: 23 November 2000

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01228686

zbMATH Keywords

Euclidean spaceumbilic pointBonnet surfacecritical point of the mean curvature

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)

Related Items (6)

On the problem of isometry of a hypersurface preserving mean curvature ⋮ An intrinsic characterization of Bonnet surfaces based on a closed differential ideal ⋮ Timelike tangent developable surfaces and Bonnet surfaces ⋮ Tangential developable surfaces as Bonnet surfaces ⋮ Surfaces in E³ invariant under a one parameter group of isometries of E³ ⋮ Bonnet ruled surfaces

Cites Work

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• Bonnet surfaces and isothermic surfaces
• Isometric deformation of surfaces in \(R^ 3\) preserving the mean curvature function
• The helicoidal surfaces as Bonnet surfaces
• On the mean curvature function for compact surfaces
• The problem of nontrivial isometries of surfaces preserving principal curvatures
• A Characterization of Compact Surfaces with Constant Mean Curvature
• On the Number of Distinct Isometric Immersions of a Riemannian Surface Into R 3 with Given Mean Curvature
• A characterization of tori with constant mean curvature in space form
• Principal-curvature-preserving isometries of surfaces in ordinary space
• An Intrinsic Characterization of H -Deformable Surfaces

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