Global properties of the Gauss image of flat surfaces in \(R^ 4\)

DOI10.2996/kmj/1138037457zbMath0642.53005OpenAlexW2030299720MaRDI QIDQ1101689

Kazuyuki Enomoto

Publication date: 1987

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138037457

zbMATH Keywords

flat torusflat normal connectiontotal curvaturesGauss imagezero Gaussian curvature

Mathematics Subject Classification ID

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

Related Items (5)

On embedded flat surfaces in \(S^3\) ⋮ Clifford structures, bilegendrian surfaces, and extrinsic curvature ⋮ Isometric immersions of \({{\mathbb R}^2}\) into \({{\mathbb R}^4}\) and perturbation of Hopf tori ⋮ Flat Surfaces with Mean Curvature Vector of Constant Length in Euclidean Spaces ⋮ Epicycloids generating Hamiltonian minimal surfaces in the complex quadric

Cites Work

• Unnamed Item
• The Gauss map for surfaces in 4-space
• Hopf tori in \(S^ 3\)
• The Gauss image of flat surfaces in \(R^ 4\)
• Completeness of curvature surfaces of an isometric immersion
• The geometry of the generalized Gauss map

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