Winding number and homotopy for quaternionic curves
Mathematical Physics
2022-05-03 v1 math.MP
Abstract
Following a recent approach to quaternionic curves, we defined the quaternionic polar angle that enabled us to define global properties of quaternionic curves, namely the winding number and the homotopy concept. The results admit various applications, including further analogies to plane curves, and physical applications.
Keywords
Cite
@article{arxiv.2202.01168,
title = {Winding number and homotopy for quaternionic curves},
author = {Sergio Giardino},
journal= {arXiv preprint arXiv:2202.01168},
year = {2022}
}
Comments
Accept by Int. J. Geom. Meth. Math. Phys