K. Saji

activity

20042026

most citedSingularities of flat fronts in hyperbolic 3-space

204 citations · 204 across the 6 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.DG2026

Geometry on principal curvature surfaces

Luciana F. Martins, Kentaro Saji, Samuel P. dos Santos +1

We study the geometry of the principal curvature surface associated with a Whitney umbrella. This surface is obtained by extending the Whitney umbrella in the normal direction by i…

math.DG2026

Geometry of $D_{4}^{-}$ -front singularities and a Gauss-Bonnet type formula

Kentaro Saji

We construct a form of the $D_{4}^{-}$ -singularity of fronts in $R^{3}$ which uses coordinate transformation on the source and isometry on the target. As an application, we compute diff…

math.DG2026

Geometry of pseudo-non-degenerate two-ruled hypersurfaces

Junzhen Li, Kentaro Saji

We investigate the singularities of two-ruled hypersurfaces in the Euclidean four-space. By considering the points that minimize the distance between adjacent rulings, we obtain a…

Geometry on principal curvature surfaces

Geometry of D4−​-front singularities and a Gauss-Bonnet type formula

Geometry of pseudo-non-degenerate two-ruled hypersurfaces

Geometry of $D_{4}^{-}$ -front singularities and a Gauss-Bonnet type formula