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math.DG2007★ 2 cited
Behavior of corank one singular points on wave fronts
Kentaro Saji, Masaaki Umehara, Kotaro Yamada
Let be an oriented 2-manifold and a -map. A point is called a singular point if is not an immersion at . The map is called a fr…
math.DG2005
The geometry of fronts
Kentaro Saji, Masaaki Umehara, Kotaro Yamada
We shall introduce the singular curvature function on cuspidal edges of surfaces, which is related to the Gauss-Bonnet formula and which characterizes the shape of cuspidal edges.…