1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.DG2022★ 1 cited
Bertrand and Mannheim curves of framed curves in the 4-dimensional Euclidean space
Shun'ichi Honda, Masatomo Takahashi, Haiou Yu
A Bertrand curve in the 4-dimensional Euclidean space is a space curve whose first normal line is the same as the first normal line of another curve. On the other hand, a Mannheim…
math.DG2021
Circular evolutes and involutes of framed curves in the Euclidean space
Shun'ichi Honda, Masatomo Takahashi
We introduce circular evolutes and involutes of framed curves in the Euclidean space. Circular evolutes of framed curves stem from the curvature circles of Bishop directions and si…