The problem of nontrivial isometries of surfaces preserving principal curvatures

DOI10.1007/BF01406838zbMath0828.53004OpenAlexW2316087516MaRDI QIDQ1347014

Ziya Soyuçok

Publication date: 30 March 1995

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

Full work available at URL: https://doi.org/10.1007/bf01406838

zbMATH Keywords

isothermal systemBonnet surfaces

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)

Related Items

On the problem of isometry of a hypersurface preserving mean curvature ⋮ Timelike tangent developable surfaces and Bonnet surfaces ⋮ Weierstrass representations for triply orthogonal and conformal Euclidean and Lorentzian systems ⋮ Generalized Weierstrass-Enneper representations of Euclidean, spacelike, and timelike surfaces: a unified Lie-algebraic formulation ⋮ Infinitesimal deformations of surfaces and the stress distribution on some membranes under constant inner pressure ⋮ 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

Cites Work

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• The helicoidal surfaces as Bonnet surfaces
• On the mean curvature function for compact surfaces
• 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