Maximal surfaces with singularities in Minkowski space

Details Maximal surfaces with singularities in Minkowski space Maximal surfaces with singularities in Minkowski space

2003-07-23

arxiv.org/abs/math/0307309v7

Mathematics

Differential Geometry

18 pages, 2 figures

Scientific paper

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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