On Generalized Spherical Surfaces in Euclidean Spaces

DOI10.5831/HMJ.2017.39.3.363zbMath1403.53008arXiv1605.00460MaRDI QIDQ4561527

Kadri Arslan, Bengü (Kılıç) Bayram, Betül Bulca

Publication date: 6 December 2018

Full work available at URL: https://arxiv.org/abs/1605.00460

zbMATH Keywords

second fundamental formGaussian curvaturerotational surfaceOtsuiki surface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Curves in Euclidean and related spaces (53A04)

Related Items

Rotational submanifolds in Euclidean spaces

Cites Work

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• Invariants and Bonnet-type theorem for surfaces in \(\mathbb R^{4}\)
• On the theory of surfaces in the four-dimensional Euclidean space
• Some properties of the Clifford torus as rotation surfaces.
• Two-dimensional pseudospherical surfaces with degenerate Bianchi transformation
• Generalized rotation surfaces in \({\mathbb E^4}\)
• Minimal total absolute curvature for immersions
• MERIDIAN SURFACES IN 𝔼⁴WITH POINTWISE 1-TYPE GAUSS MAP
• Surfaces in the $4$-dimensional Euclidean space isometric to a sphere
• Pseudo-umbilical surfaces with constant Gauss curvature
• Contributions to the Theory of Surfaces in a 4-Space of Constant Curvature