On the Calabi-Yau problem for maximal surfaces in L^3

Details On the Calabi-Yau problem for maximal surfaces in L^3 On the Calabi-Yau problem for maximal surfaces in L^3

2007-07-09

arxiv.org/abs/0707.1098v2

Mathematics

Differential Geometry

12 pages, 2 figures. Revised version. To appear in Differ. Geom. Appl

Scientific paper

In this paper we construct an example of a weakly complete maximal surface in
the Lorentz-Minkowski space L^3, which is bounded by a hyperboloid. Moreover,
all the singularities of our example are of lightlike type.

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