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arxiv: 1606.09141 · v1 · pith:GR4EYO2Rnew · submitted 2016-06-29 · 🧮 math.DG

Linear Superposition of Minimal Surfaces: Generalized Helicoids and Minimal Cones

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keywords minimallinearconesgeneralizedhelicoidssuperpositionalgebraicarbitrarily
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Observing a linear superposition principle, a family of new minimal hypersurfaces in Euclidean space is found, as well as that linear combinations of generalized helicoids induce new algebraic minimal cones of arbitrarily high degree.

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