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math.DG2003
Maximal surfaces with singularities in Minkowski space
Masaaki Umehara, Kotaro Yamada
We shall investigate maximal surfaces in Minkowski 3-space with singularities. Although the plane is the only complete maximal surface without singular points, there are many other…
math.DG2003★ 1 cited
Flat fronts in hyperbolic 3-space
Masatoshi Kokubu, Masaaki Umehara, Kotaro Yamada
We shall investigate flat surfaces in hyperbolic 3-space with admissible singularities, called `flat fronts'. An Osserman-type inequality for complete flat fronts is shown. When eq…