The helicoidal surfaces as Bonnet surfaces

DOI10.2748/TMJ/1178227989zbMath0641.53003OpenAlexW1978742152MaRDI QIDQ1100734

Ioannis M. Roussos

Publication date: 1988

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227989

zbMATH Keywords

constant mean curvatureprincipal directionshelicoidal surfacesBonnet surfacehelicoidal motionmean-curvature-preserving isometry

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Surfaces in Euclidean and related spaces (53A05)

Related Items (8)

The problem of nontrivial isometries of surfaces preserving principal curvatures ⋮ Unnamed Item ⋮ Timelike tangent developable surfaces and Bonnet surfaces ⋮ Tangential developable surfaces as Bonnet surfaces ⋮ Global results on Bonnet surfaces ⋮ Surfaces in E³ invariant under a one parameter group of isometries of E³ ⋮ Bonnet ruled surfaces ⋮ Helicoidal surfaces with constant anisotropic mean curvature

Cites Work

• On the mean curvature function for compact surfaces
• Helicoidal surfaces with constant mean curvature
• Unnamed Item
• Unnamed Item

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