3 papers
math.DG2025
Isometric deformations of pillow boxes
Atsufumi Honda, Miyuki Koiso
Pillow boxes are surfaces used for gift boxes, packaging, and even architectural applications. By definition, a pillow box is isometric to a double rectangle consisting of two copi…
math.DG2024
Mannheim-d'Ocagne-Koenderink type formulas for asymptotic directions
Toshizumi Fukui, Atsufumi Honda, Masaaki Umehara
We consider a surface embedded in the Euclidean 3-space and fix a tangential vector at a given point on the surface. In this paper, we first review a history of the formula…
math.DG2024
Null hypersurfaces as wave fronts in Lorentz-Minkowski space
Shintaro Akamine, Atsufumi Honda, Masaaki Umehara +1
In this paper, we show that ``-complete null hypersurfaces'' (i.e. ruled hypersurfaces foliated by entirety of light-like lines) as wave fronts in the -dimensional Lorent…