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math.DG2005
Singularities of Maximal Surfaces
Shoichi Fujimori, Kentaro Saji, Masaaki Umehara +1
We show that the singularities of spacelike maximal surfaces in Lorentz-Minkowski 3-space generically consist of cuspidal edges, swallowtails and cuspidal cross caps. The same resu…
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.…