Flat Surfaces with Mean Curvature Vector of Constant Length in Euclidean Spaces

DOI10.2307/2048261zbMath0707.53007OpenAlexW4246397936MaRDI QIDQ3488815

Kazuyuki Enomoto

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2048261

zbMATH Keywords

vector fieldmean curvaturegeodesic curvaturesComplete flat surfacesproduct of two curves

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40)

Related Items (2)

Minimal helix surfaces in \(N^{n}\times \mathbb R\) ⋮ Submanifolds of constant sectional curvature with parallel or constant mean curvature

Cites Work

• Hopf tori in \(S^ 3\)
• The Gauss image of flat surfaces in \(R^ 4\)
• Global properties of the Gauss image of flat surfaces in \(R^ 4\)
• Completeness of curvature surfaces of an isometric immersion
• Surfaces of constant mean curvature in manifolds of constant curvature
• Umbilical points on surfaces in R^N

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