Global invariants of paths and curves in the two-dimensional real vector space for linear similarity groups generated by dual numbers

DOI10.1007/s00006-018-0929-9zbMath1408.53015OpenAlexW2905224121WikidataQ128702924 ScholiaQ128702924MaRDI QIDQ1728195

Yasemin Sağiroğlu

Publication date: 22 February 2019

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

Full work available at URL: https://doi.org/10.1007/s00006-018-0929-9

zbMATH Keywords

curveinvariantdual numbersimilarity geometry

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Differential invariants (local theory), geometric objects (53A55) Other special differential geometries (53A40)

Uses Software

• DNAD

Cites Work

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• DNAD, a simple tool for automatic differentiation of Fortran codes using dual numbers
• Similar Frenet curves
• Kinematic differential geometry of a rigid body in spatial motion using dual vector calculus. I.
• The complete system of global differential and integral invariants of a curve in Euclidean geometry
• The complete system of global integral and differential invariants for equi-affine curves.
• Automated synthesis of mechanisms using dual-vector algebra
• Linear algebra and numerical algorithms using dual numbers
• On rectifying dual spaces curves
• SIMILAR AND SELF-SIMILAR CURVES IN MINKOWSKI n-SPACE
• Application of Dual-Number Quaternion Algebra to the Analysis of Spatial Mechanisms

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