Answers are grounded in this paper and cite their sources.
Bertrand curves are a pair of curves that have a common principal normal vector at any point and are related to symmetry properties. In the present paper, we define the notion of 1,3-V Bertrand curves in Euclidean 4-space. Then we find the necessary and sufficient conditions for curves in Euclidean 4-space to be 1,3-V Bertrand curves. Some related examples are given.
No takes yet. Share an insight, caveat, or question.
Li et al. (2022) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: