32 citations · 114 across the 45 of their papers we have counts for
5 papers · 2 filters
Singular surfaces of revolution with prescribed unbounded mean curvature
Luciana F. Martins, Kentaro Saji, Samuel P. dos Santos +1
We give an explicit formula for singular surfaces of revolution with prescribed unbounded mean curvature. Using it, we give conditions for singularities of that surfaces. Periodici…
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…
Flat surfaces along swallowtails
Shyuichi Izumiya, Kentaro Saji, Keisuke Teramoto
We consider developable surfaces along the singular set of a swallowtail which are considered to be flat approximations of the swallowtail. For the study of singularities of such d…
On the geometry of folded cuspidal edges
Raúl Oset Sinha, Kentaro Saji
We study the geometry of cuspidal singularities in obtained by folding generically a cuspidal edge. In particular we study the geometry of the cuspidal cross-ca…
Characterizing singularities of a surface in Lie sphere geometry
Mason Pember, Wayne Rossman, Kentaro Saji +1
The conditions for a cuspidal edge, swallowtail and other fundamental singularities are given in the context of Lie sphere geometry. We then use these conditions to study the Lie s…