Linear Superposition of Minimal Surfaces: Generalized Helicoids and Minimal Cones

2016/06/29 by Jens Hoppe, Hoppe, Jens
Mathematics · Engineering · #Geometric Analysis and Curvature Flows #Advanced Numerical Analysis Techniques #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1606.09141

Abstract

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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