Article ID Journal Published Year Pages File Type
1898916 Journal of Geometry and Physics 2007 11 Pages PDF
Abstract

We derive a proper formulation of the singular Björling problem for spacelike maximal surfaces with singularities in the Lorentz–Minkowski 3-space which roughly asks whether there exists a maximal surface that contains a prescribed curve as singularities, and then provide a representation formula which solves the problem in an affirmative way. As consequences, we construct many kinds of singularities of maximal surfaces and deduce some properties of the maximal surfaces related to the singularities due to the geometry of the Gauss map.

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Physical Sciences and Engineering Mathematics Mathematical Physics
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