4 citations · 10 across the 4 of their papers we have counts for
4 papers
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…
Singularities of a surface given by Kenmotsu-type formula in Euclidean three-space
Luciana F. Martins, Kentaro Saji, Keisuke Teramoto
We study singularities of surfaces which are given by Kenmotsu-type formula with prescribed unbounded mean curvature.
Geometry of cuspidal edges with boundary
Luciana F. Martins, Kentaro Saji
We study differential geometric properties of cuspidal edges with boundary. There are several differential geometric invariants which are related with the behavior of the boundary…
Behavior of Gaussian curvature and mean curvature near non-degenerate singular points on wave fronts
Luciana F. Martins, Kentaro Saji, Masaaki Umehara +1
We define cuspidal curvature (resp. normalized cuspidal curvature ) along cuspidal edges (resp. at swallowtail singularity) in Riemannian -manifolds, and show that it…