Differential Geometry Revisited by Biquaternion Clifford Algebra

DOI10.1007/978-3-319-22804-4_17zbMath1364.53005OpenAlexW1814156907MaRDI QIDQ2945972

Liang Wang, Philippe Delachartre, Romaric Pujol, Patrick Clarysse, Patrick R. Girard

Publication date: 15 September 2015

Published in: Curves and Surfaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-22804-4_17

zbMATH Keywords

Clifford algebrasquaternionsdifferential geometrybiquaternionshyperquaternion algebrarotation group \(\mathrm{SO}(3)\)

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Geometry education (97G99)

Related Items (2)

Dual hyperquaternion Poincaré groups ⋮ Hyperquaternion conformal groups

Uses Software

• Mathematica
• Matlab

Cites Work

• Einstein's equations and Clifford algebra
• Analytic Video (2D + t) Signals Using Clifford–Fourier Transforms in Multiquaternion Grassmann–Hamilton–Clifford Algebras
• A New Approach to Differential Geometry using Clifford's Geometric Algebra
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