Surfaces in E³ invariant under a one parameter group of isometries of E³

DOI10.1590/S0001-37652000000200003zbMath0964.53008OpenAlexW2099717128WikidataQ52075681 ScholiaQ52075681MaRDI QIDQ4495493

Ioannis M. Roussos

Publication date: 28 June 2001

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1590/s0001-37652000000200003

zbMATH Keywords

isometrymean curvaturesurfaces of revolutiongroup actionGaussian curvatureprincipal curvaturehelicoidisothermic surfaceorthogonal parameters

Mathematics Subject Classification ID

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

Related Items (1)

SURFACES IN 𝔼³MAKING CONSTANT ANGLE WITH KILLING VECTOR FIELDS

Cites Work

• The helicoidal surfaces as Bonnet surfaces
• Zur inneren Krümmung der zweiten Grundform
• Helicoidal surfaces with constant mean curvature
• Helicoidal surfaces with prescribed mean or Gaussian curvature
• Tangential developable surfaces as Bonnet surfaces
• Global results on Bonnet surfaces
• The problem of nontrivial isometries of surfaces preserving principal curvatures
• On the inner curvature of the second fundamental form of helicoidal surfaces
• On helicoidal surfaces with constant mean curvature and their limiting surfaces
• A characterization of tori with constant mean curvature in space form

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