31 citations · 91 across the 7 of their papers we have counts for
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math.DG2024
Differential geometry using quaternions
Sergio Giardino
This paper establishes the basis of the quaternionic differential geometry ($\mathbbm H$DG) initiated in a previous article. The usual concepts of curves and surfaces are generaliz…
math.DG2021★ 6 cited
A primer on the differential geometry of quaternionic curves
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 cu…