On curvatures and points of the translation surfaces in Euclidean 3-space

DOI10.1016/J.JOEMS.2014.02.007zbMath1316.53006OpenAlexW2019946977MaRDI QIDQ2344543

Adel H. Sorour, Ahmad T. Ali, Hossam S. Abdel Aziz

Publication date: 15 May 2015

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2014.02.007

zbMATH Keywords

mean curvatureEuclidean 3-spaceGaussian curvaturetranslation surfaces

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Differential geometric aspects in kinematics (53A17) Curves in Euclidean and related spaces (53A04)

Related Items (5)

Unnamed Item ⋮ Some Characterizations of Translation Surface Generated by Spherical Indicatrices of Timelike Curves in Minkowski 3-space ⋮ Singularity properties of timelike circular surfaces in Minkowski 3-space ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Polynomial translation surfaces of Weingarten types in Euclidean 3-space
• Translation surfaces with constant mean curvature in 3-dimensional spaces
• On the Gauss map of translation surfaces in Minkowski 3-space
• Translation surfaces in the 3-dimensional space satisfying \(\Delta ^{III} r_{i} = \mu _{i} r_{i}\)
• On the Geometry of the Second Fundamental Form of Translation Surfaces in E3
• Polynomial Translation Weingarten Surfaces in 3-dimensional Euclidean space

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