Ruled surfaces in Minkowski 3-space and split quaternion operators

DOI10.1007/S00006-021-01176-XzbMath1491.53006OpenAlexW3207620858MaRDI QIDQ2052884

Murat Bekar, Selahattin Aslan, Yusuf Yayli

Publication date: 29 November 2021

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

Full work available at URL: https://doi.org/10.1007/s00006-021-01176-x

zbMATH Keywords

ruled surfacesMinkowski 3-spacesplit quaternions2-parameter homothetic motionsspherical curves in Minkowski 3-space

Mathematics Subject Classification ID

Kinematics of a rigid body (70B10) Free motion of a rigid body (70E15) Surfaces in Euclidean and related spaces (53A05) Differential geometric aspects in kinematics (53A17) Non-Euclidean differential geometry (53A35) Motion of a rigid body in contact with a solid surface (70E18) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Minkowski geometries in nonlinear incidence geometry (51B20) Rotation numbers and vectors (37E45)

Cites Work

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• A new approach to constant slope surfaces with quaternions
• Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
• Timelike surfaces of constant mean curvature in Minkowski 3-space
• Ruled surfaces with pointwise 1-type Gauss map
• Circular surfaces with split quaternionic representations in Minkowski 3-space
• On the Gauss map of ruled surfaces in a 3-dimensional Minkowski space
• On the two-parameter Lorentzian homothetic motions
• Ruled surfaces constructed by quaternions
• A new representation of canal surfaces with split quaternions in Minkowski 3-space
• Rotations with unit time-like quaternions in Minkowski 3-space
• Trigonometry in Lorentzian Geometry
• Split quaternions and time-like constant slope surfaces in Minkowski 3-space
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E⁴₂

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