331 citations · 3.6k across the 160 of their papers we have counts for
3 papers · 1 filter
On surfaces obtained as singular loci of normal congruences of frontals with pure-frontal singular points
Samuel P. dos Santos, Keisuke Teramoto
We study singularities and geometric properties of surfaces given by the singular loci of normal congruence of frontals with pure-frontal singular points. These surfaces consist of…
Boundedness of geometric invariants near a singularity which is a suspension of a singular curve
Luciana F. Martins, Kentaro Saji, Samuel P. dos Santos +1
Near a singular point of a surface or a curve, geometric invariants diverge in general, and the orders of diverge, in particular the boundedness about these invariants represent ge…
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…