Björling problem
In differential geometry, the Björling problem is the problem of finding a minimal surface passing through a given curve with prescribed normal (or tangent planes). The problem was posed and solved by Swedish mathematician Emanuel Gabriel Björling, with further refinement by Hermann Schwarz. The problem can be solved by extending the surface from the curve using complex analytic continuation. If is a real analytic curve in ℝ3 defined over an interval I, with and a vector field along c such that and , then the following surface is minimal: where , , and and are convergent.
Björling problem
In differential geometry, the Björling problem is the problem of finding a minimal surface passing through a given curve with prescribed normal (or tangent planes). The problem was posed and solved by Swedish mathematician Emanuel Gabriel Björling, with further refinement by Hermann Schwarz. The problem can be solved by extending the surface from the curve using complex analytic continuation. If is a real analytic curve in ℝ3 defined over an interval I, with and a vector field along c such that and , then the following surface is minimal: where , , and and are convergent.
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In differential geometry, the ...... symmetry plane of the surface.
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In differential geometry, the ...... re , , and and are convergent.
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Björling problem
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