Ruled surfaces constructed by quaternions

DOI10.1016/j.geomphys.2020.104048zbMath1460.53004OpenAlexW3112828812MaRDI QIDQ2223764

Murat Bekar, Yusuf Yayli, Selahattin Aslan

Publication date: 1 February 2021

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2020.104048

zbMATH Keywords

ruled surfacesquaternionsspherical curvesdual numbers2-parameter homothetic motions

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Surfaces in Euclidean and related spaces (53A05) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (8)

Some New Properties of Surfaces Generated by Null Cartan Curves ⋮ Quaternionic approach of slant ruled surfaces ⋮ Unnamed Item ⋮ Magnetic flux ruled surfaces ⋮ Ruled surface family with common special curve ⋮ Generalized tubes in pseudo‐Galilean 3‐space: Split semi‐quaternionic representations and an application to magnetic flux tubes ⋮ Geometric 3-space and multiplicative quaternions ⋮ Ruled surfaces in Minkowski 3-space and split quaternion operators

Cites Work

• Canal surfaces with quaternions
• A new approach to constant slope surfaces with quaternions
• Quaternionic approach of canal surfaces constructed by some new ideas
• The construction of circular surfaces with quaternions
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• Unnamed Item

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