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Perturbing away singularities from area-minimizing hypercones. (English) Zbl 0608.49029

For an area-minimizing hypercone in the unit ball with isolated singularity, we show that the singularity is removed by a large class of perturbations of the boundary.

MSC:

49Q05 Minimal surfaces and optimization
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
58C25 Differentiable maps on manifolds
58K99 Theory of singularities and catastrophe theory
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