A primer on the differential geometry of quaternionic curves
arXiv:2107.07852 · doi:10.1002/mma.7709
Abstract
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.
Accept by Mathematical Methods in the Applied Sciences