Geometric 3-space and multiplicative quaternions

DOI10.1142/s0219887823501517MaRDI QIDQ6184008

Murat Bekar, Selahattin Aslan, Yusuf Yayli

Publication date: 24 January 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

geometric anglegeometric rotationgeometric 3-spacegeometric circlegeometric spheremultiplicative quaternions

Mathematics Subject Classification ID

Differential geometry (53-XX) Relativity and gravitational theory (83-XX)

Cites Work

• Canal surfaces with quaternions
• A new approach to constant slope surfaces with quaternions
• Application of geometric calculus in numerical analysis and difference sequence spaces
• Timelike surfaces of constant mean curvature in Minkowski 3-space
• Modeling the 3D kinematics of the eye in the geometric algebra framework.
• Ruled surfaces constructed by quaternions
• Quaternionic approach of canal surfaces constructed by some new ideas
• Multiplicative calculus and its applications
• Motions on curves and surfaces using geometric algebra
• SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E⁴₂
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