Introduction to Cartan numbers and some geometric applications

DOI10.1002/mma.8982OpenAlexW4313334910MaRDI QIDQ6140743

İskender Öztürk

Publication date: 2 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8982

zbMATH Keywords

quaternionsrotation matricessplit quaternionsnull curvesCartan framepseudo-null curvesparabolic rotation

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Applications of Clifford algebras to physics, etc. (15A67)

Cites Work

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• On reflections and rotations in Minkowski 3-space
• On rotation about lightlike axis in three-dimensional Minkowski space
• An alternative approach to elliptical motion
• Twisted surfaces with null rotation axis in Minkowski 3-space
• On null and pseudo null Mannheim curves in Minkowski 3-space
• On the rotation matrix in Minkowski space-time
• Timelike surfaces of constant mean curvature in Minkowski 3-space
• Introduction to hybrid numbers
• On Bäcklund transformation and vortex filament equation for null Cartan curve in Minkowski 3-space
• Rotations on a lightcone in Minkowski 3-space
• On the Bishop frames of pseudo null and null Cartan curves in Minkowski 3-space
• Rotations with unit time-like quaternions in Minkowski 3-space
• Rethinking Quaternions
• Geometry of Möbius Transformations
• Geometry of Generalized Complex Numbers
• On geometric applications of quaternions
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• On Bäcklund transformation and vortex filament equation for pseudo null curves in Minkowski 3-space
• Reflections in conics, quadrics and hyperquadrics via Clifford algebra
• Generating hyperbolical rotation matrix for a given hyperboloid

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