1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.DG2024★ 1 cited
The total absolute curvature of closed curves with singularities
Atsufumi Honda, Chisa Tanaka, Yuta Yamauchi
In this paper, we give a generalization of Fenchel's theorem for closed curves as frontals in Euclidean space . We prove that, for a non-co-orientable closed frontal…
math.DG2023
Bour's theorem for helicoidal surfaces with singularities
Yuki Hattori, Atsufumi Honda, Tatsuya Morimoto
In this paper, generalizing the techniques of Bour's theorem, we prove that every generic cuspidal edge, more generally, generic -type edge, which is invariant under a helicoida…