32 citations · 114 across the 45 of their papers we have counts for
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math.DG2010★ 3 cited
A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space
Kentaro Saji, Masaaki Umehara, Kotaro Yamada
In a previous work, the authors gave a definition of `front bundles'. Using this, we give a realization theorem for wave fronts in space forms, like as in the fundamental theorem o…
math.DG2010★ 3 cited
Singularities of Blaschke normal maps of convex surfaces
Kentaro Saji, Masaaki Umehara, Kotaro Yamada
We prove that the difference between the numbers of positive swallowtails and negative swallowtails of the Blaschke normal map for a given convex surface in affine space is equal t…