Minimal and pseudo-umbilical rotational surfaces in Euclidean space \(\mathbb E^4\)

DOI10.1007/s00009-011-0167-zzbMath1264.53009OpenAlexW2019957432MaRDI QIDQ1943596

Nurettin Cenk Turgay, Uǧur Dursun

Publication date: 20 March 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-011-0167-z

zbMATH Keywords

minimal surfacedevelopable surfacerotational surfacepseudo-umbilical surface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (5)

Isometric deformation of \((m,n)\)-type helicoidal surface in the three dimensional Euclidean space ⋮ Generalized rotation surfaces in \(\mathbb{E}^4\) with density ⋮ General rotational surfaces in pseudo-Euclidean 4-space with neutral metric ⋮ The Gauss map and the third Laplace-Beltrami operator of the rotational hypersurface in 4-space ⋮ Polynomial Vector Fields on the Clifford Torus

Cites Work

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• Quasi-minimal rotational surfaces in pseudo-Euclidean four-dimensional space
• Pseudo-umbilical submanifolds of a Riemannian manifold of constant curvature . II
• General Rotational Surfaces in $\R^4$ with Meridians Lying in Two-Dimensional Planes
• Pseudo-umbilical submanifolds of codimension $2$
• Pseudo-umbilical surfaces in euclidean spaces

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