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math.DG2024
Solution of the Björling problem by discrete approximation
Ulrike Bücking, Daniel Matthes
The Björling problem amounts to the construction of a minimal surface from a real-analytic curve with a given real-analytic normal vector field. We approximate that solution locall…
math.DG2015★ 3 cited
Constructing solutions to the Björling problem for isothermic surfaces by structure preserving discretization
Ulrike Bücking, Daniel Matthes
In this article, we study an analog of the Björling problem for isothermic surfaces (that are more general than minimal surfaces): given a real analytic curve in ${\mathbb R}^3…