A generalization of translation surfaces with constant curvature in the isotropic space

DOI10.1007/s00022-015-0292-0zbMath1362.53020OpenAlexW1903009045MaRDI QIDQ523392

Muhittin Evren Aydin

Publication date: 20 April 2017

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-015-0292-0

zbMATH Keywords

space curvetranslation surfaceisotropic mean curvatureisotropic minimalisotropic spacerelative curvature

Mathematics Subject Classification ID

Local submanifolds (53B25) Non-Euclidean differential geometry (53A35) Other special differential geometries (53A40)

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Cites Work

• Translation hypersurfaces with constant curvature in space forms
• Translation surfaces of constant curvatures in a simply isotropic space
• Minimal translation surfaces in hyperbolic space
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• Translation surfaces with constant mean curvature in 3-dimensional spaces
• Applications of Laguerre geometry in CAGD
• Zur Geometrie der Hypersphären im n-dimensionalen einfach isotropen Raum.
• Flat tensor product surfaces of pseudo-Euclidean curves
• Discrete Surfaces in Isotropic Geometry
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