A primer on the differential geometry of quaternionic curves

16 Jul 2021  ·  Sergio Giardino ·

This paper describes the foundations of a differential geometry of a quaternionic curves. The Frenet-Serret 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. read more

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Differential Geometry Mathematical Physics Mathematical Physics