3 citations · 3 across the 5 of their papers we have counts for
18 papers · 1 filter
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…
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…
Symmetries of cross caps
Atsufumi Honda, Kosuke Naokawa, Kentaro Saji +2
It is well-known that cross caps on surfaces in the Euclidean 3-space can be expressed in Bruce-West's normal form, which is a special local coordinate system centered at the singu…
A generalization of Zakalyukin's lemma, and symmetries of surface singularities
Atsufumi Honda, Kosuke Naokawa, Kentaro Saji +2
Zakalyukin's lemma asserts that the coincidence of the images of two wave front germs implies the right equivalence of corresponding map germs under a certain genericity assumption…
Singularities of spacelike mean curvature one surfaces in de Sitter space
Atsufumi Honda, Himemi Sato
In this paper, we study the singularities of spacelike constant mean curvature one (CMC 1) surfaces in the de Sitter 3-space. We prove the duality between generalized conelike sing…
Geometry of lightlike locus on mixed type surfaces in Lorentz-Minkowski 3-space from a contact viewpoint
Atsufumi Honda, Shyuichi Izumiya, Kentaro Saji +1
A surface in the Lorentz-Minkowski -space is generally a mixed type surface, namely, it has the lightlike locus. We study local differential geometric properties of such a locus…