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Mathematics 2003

Maximal surfaces with singularities in Minkowski space

Masaaki Umehara,Kotaro Yamada

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Abstract:

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 complete maximal surfaces with singularities and we show that they satisfy an Osserman-type inequality.

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