Principal-curvature-preserving isometries of surfaces in ordinary space

DOI10.1007/BF02590026zbMath0751.53004MaRDI QIDQ3991370

Ioannis M. Roussos

Publication date: 28 June 1992

Published in: Boletim da Sociedade Brasileira de Matemática (Search for Journal in Brave)

zbMATH Keywords

flat surfacessurfaces of revolution

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)

Related Items

On the problem of isometry of a hypersurface preserving mean curvature ⋮ The problem of nontrivial isometries of surfaces preserving principal curvatures ⋮ Bending of surfaces. II ⋮ Bonnet surfaces with constant curvature ⋮ Higher order variations of constant mean curvature surfaces ⋮ Bonnet surfaces and isothermic surfaces ⋮ Tangential developable surfaces as Bonnet surfaces ⋮ Global results on Bonnet surfaces ⋮ Bour's theorem and helicoidal surfaces with constant mean curvature in the Bianchi-Cartan-Vranceanu spaces

Cites Work

• Isometric deformation of surfaces in \(R^ 3\) preserving the mean curvature function
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