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This paper describes the foundations of a differential geometry of a quaternionic curves. The FrenetSerret equations and the evolutes and evolvents of a particular quaternionic curve are accordingly determined. This… Click to show full abstract
This paper describes the foundations of a differential geometry of a quaternionic curves. The FrenetSerret equations and the evolutes and evolvents of a particular quaternionic curve are accordingly determined. This new formulation takes benefit of the quaternionic structure and the results are much simpler than the present formulations of quaternionic curves.
Keywords:
differential geometry;
geometry;
quaternionic curves;
geometry quaternionic;
primer differential
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2021
Link to full text (if available)
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2021
Link to full text (if available)
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recommendations!