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.
Original language | English |
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Pages (from-to) | 2167-2177 |
Number of pages | 11 |
Journal | Journal of Geometry and Physics |
Volume | 57 |
Issue number | 11 |
DOIs | |
Publication status | Published - 2007 Oct |
Keywords
- Björling formula
- Maximal surfaces
- Singularities
ASJC Scopus subject areas
- Mathematical Physics
- General Physics and Astronomy
- Geometry and Topology