The Riemann minimal examples

zbMath1359.53010arXiv1609.05660MaRDI QIDQ5506882

Joaquín Pérez, William Hamilton III Meeks

Publication date: 16 December 2016

Full work available at URL: https://arxiv.org/abs/1609.05660

zbMATH Keywords

Jacobi functionminimal surfaceKorteweg-de Vries equationKdV hierarchyShiffman functionminimal planar domain

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Foliations in differential topology; geometric theory (57R30)

Related Items (7)

Minimal surfaces in Euclidean spaces by way of complex analysis ⋮ Domains without parabolic minimal submanifolds and weakly hyperbolic domains ⋮ Riemann zero mean curvature examples in Lorentz–Minkowski space ⋮ Minimal surfaces with symmetries ⋮ Riemann’s Work on Minimal Surfaces ⋮ Minimal surfaces in ${\mathbb{R}}^{4}$ foliated by conic sections and parabolic rotations of holomorphic null curves in ${\mathbb{C}}^{4}$ ⋮ $\boldsymbol{O(m) \times O(n)}$ -invariant homothetic solitons for inverse mean curvature flow in $\boldsymbol {\mathbb{R}^{m+n}}$

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