Isolated singularities conjecture for properly embedded minimal surfaces
Isolated singularities conjecture for properly embedded minimal surfaces
Let be a closed geodesic ball in a Riemannian three-manifold, and let be a minimal surface with boundary . Suppose that is properly embedded in punctured at the center of the ball. Isolated singularities conjecture. The surface extends across the puncture to a smooth compact embedded minimal surface in . This is a removable-singularity assertion for properly embedded minimal surfaces; the supplied source does not state whether it has been resolved.
Sources & referencesView supporting material
Primary source
William H. Meeks and Michael Wolf, “Minimal surfaces with the area growth of two planes; the case of infinite symmetry”, arXiv:math/0501110 (2005).
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