Extensions of the duality between minimal surfaces and maximal surfaces
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Publication:2430737
DOI10.1007/s10711-010-9539-yzbMath1211.53010OpenAlexW2033345022MaRDI QIDQ2430737
Publication date: 8 April 2011
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10711-010-9539-y
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Related Items (10)
On the duality between rotational minimal surfaces and maximal surfaces ⋮ Wick rotations of solutions to the minimal surface equation, the zero mean curvature equation and the Born-Infeld equation ⋮ Geometry of \([\varphi, {\mathbf{e}}_3\)-minimal surfaces in \(\mathbb{R}^3\)] ⋮ Dual quadratic differentials and entire minimal graphs in Heisenberg space ⋮ Height and area estimates for constant mean curvature graphs in \(\mathbb {E}(\kappa ,\tau )\)-spaces ⋮ The Lorentzian version of a theorem of Krust ⋮ Duality methods for a class of quasilinear systems ⋮ An extension of Calabi's correspondence between the solutions of two Bernstein problems to more general elliptic nonlinear equations ⋮ Extension of Krust theorem and deformations of minimal surfaces ⋮ Slant and Legendre curves in Bianchi-Cartan-Vranceanu geometry
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