The study variety of conformal kinematics

DOI10.1007/s00006-022-01227-xzbMath1503.70004arXiv2112.01027OpenAlexW3217304736MaRDI QIDQ2162704

Bahar Kalkan, Zijia Li, Johannes Siegele, Hans-Peter Schröcker

Publication date: 9 August 2022

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

Full work available at URL: https://arxiv.org/abs/2112.01027

zbMATH Keywords

factorizationstudy quadricsimple motionnull quadricfour-quaternion representationstudy variety

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Reflection groups, reflection geometries (51F15) Möbius geometries (51B10) Higher-dimensional generalizations in rigid body dynamics (70E45) Applications of Clifford algebras to physics, etc. (15A67)

Cites Work

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• The construction of 3D conformal motions
• Kinematic generation of Darboux cyclides
• Factorization results for left polynomials in some associative real algebras: state of the art, applications, and open questions
• Factorization of motion polynomials
• Compactification of the group of rigid motions and applications to robotics
• Bond theory for pentapods and hexapods
• Geometric Fundamentals of Robotics
• Geometric Algebra Applications Vol. I

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