42 citations · 78 across the 18 of their papers we have counts for
4 papers · 1 filter
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…
On Gaussian curvatures and singularities of Gauss maps of cuspidal edges
Keisuke Teramoto
We show relation between sign of Gaussian curvature of cuspidal edge and geometric invariants through types of singularities of Gauss map. Moreover, we define and characterize posi…
Geometric properties near singular points of surfaces given by certain representation formulae
Yoshiki Matsushita, Takuya Nakashima, Keisuke Teramoto
We investigate geometric properties of surfaces given by certain formulae. In particular, we calculate the singular curvature and the limiting normal curvature of such surfaces alo…
Behavior of principal curvatures of frontals near non-front singular points and their application
Kentaro Saji, Keisuke Teramoto
We investigate behavior of principal curvatures and principal vectors near a non-degenerate singular point of the first kind of frontals. As an application, we extend the notion of…