10 citations · 45 across the 27 of their papers we have counts for
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math.DG2017★ 5 cited
Geometric invariants of -cuspidal edges
Atsufumi Honda, Kentaro Saji
We introduce two invariants called the secondary cuspidal curvature and the bias on -cuspidal edges, and investigate their basic properties. While the secondary cuspidal curva…
math.DG2017★ 10 cited
Isometric deformations of wave fronts at non-degenerate singular points
Atsufumi Honda, Kosuke Naokawa, Masaaki Umehara +1
Cuspidal edges and swallowtails are typical non-degenerate singular points on wave fronts in the Euclidean -space. Their first fundamental forms belong to a class of positive se…
math.DG2017
Complete flat fronts as hypersurfaces in Euclidean space
Atsufumi Honda
By Hartman--Nirenberg's theorem, any complete flat hypersurface in Euclidean space must be a cylinder over a plane curve. However, if we admit some singularities, there are many no…