Geometric algebra of singular ruled surfaces
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Publication:2661144
DOI10.1007/s00006-020-01097-1zbMath1462.53002OpenAlexW3130093668MaRDI QIDQ2661144
Yanlin Li, Tie-Hong Zhao, Zhi-Gang Wang
Publication date: 1 April 2021
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00006-020-01097-1
Clifford algebras, spinors (15A66) Surfaces in Euclidean and related spaces (53A05) Differential geometric aspects in kinematics (53A17) Curves in Euclidean and related spaces (53A04) Local complex singularities (32S05)
Related Items (7)
Evolving evolutoids and pedaloids from viewpoints of envelope and singularity theory in Minkowski plane ⋮ Local geometric properties of the lightlike Killing magnetic curves in de Sitter 3-space ⋮ A study on a line congruence as surface in the space of lines ⋮ Singularities of non-lightlike developable surfaces in Minkowski 3-space ⋮ Magnetic flux ruled surfaces ⋮ Ruled surface family with common special curve ⋮ Homology groups in warped product submanifolds in hyperbolic spaces
Cites Work
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- Involutions in dual split-quaternions
- A new polar representation for split and dual split quaternions
- On a line congruence which has the parameter ruled surfaces as principal ruled surfaces
- Rigid body motions and Arnol'd's theory of fronts on \(\mathbb S^2 \subset \mathbb R^3\)
- Singularities of null developable of timelike curve that lies on nullcone in semi-Euclidean 3-space with index 2
- Geometric algebras for Euclidean geometry
- The geometry of fronts
- Singularities of dual hypersurfaces and hyperbolic focal surfaces along spacelike curves in light cone in Minkowski 5-space
- On rectifying dual spaces curves
- Geometry of 1-lightlike submanifolds in anti-de Sitter n-space
- Legendre curves in the unit spherical bundle over the unit sphere and evolutes
- On singularities of the Galilean spherical darboux ruled surface of a space curve in G 3
- Pedal curves of fronts in the sphere
- Pedal curves of frontals in the Euclidean plane
- Geometric Fundamentals of Robotics
- Envelopes of legendre curves in the unit spherical bundle over the unit sphere
- The geometry of spherical curves and the algebra of quaternions
- On the growth behaviour of Hironaka quotients
- Ruled surfaces and tangent bundle of unit 2-sphere
- Clifford Algebras in Mathematics and Applied Sciences
- Evolutes of dual spherical curves for ruled surfaces
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