Quaternionic approach of slant ruled surfaces

DOI10.1007/s00006-022-01225-zzbMath1492.53008OpenAlexW4284890134MaRDI QIDQ2162702

Emel Karaca

Publication date: 9 August 2022

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-022-01225-z

zbMATH Keywords

quaternionsdual numbers2-parameter homothetic motionsslant ruled surfaces

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)

Cites Work

• Canal surfaces with quaternions
• A new approach to constant slope surfaces with quaternions
• Non-null slant ruled surfaces
• Ruled surfaces constructed by quaternions
• Quaternionic approach of canal surfaces constructed by some new ideas
• Characterizations of Slant Ruled Surfaces in the Euclidean 3-space
• Ruled and Rotational Surfaces Generated by Non-Null Curves with Zero Weighted Curvature in $(\mathbb{L}^{3},ax^{2}+by^{2})$
• The construction of circular surfaces with quaternions
• Ruled surfaces and tangent bundle of unit 2-sphere
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