How many maximal surfaces do correspond to one minimal surface?

DOI10.1017/S0305004108001722zbMath1165.53007OpenAlexW2120384703MaRDI QIDQ3598121

Henrique Araújo, Maria Luiza Leite

Publication date: 30 January 2009

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004108001722

zbMATH Keywords

quotient topologyspace of maximal congruence classes

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Moduli problems for differential geometric structures (58D27)

Related Items (7)

On the duality between rotational minimal surfaces and maximal surfaces ⋮ Extensions of the duality between minimal surfaces and maximal surfaces ⋮ Dual quadratic differentials and entire minimal graphs in Heisenberg space ⋮ Surfaces with planar lines of curvature and orthogonal systems of cycles ⋮ An extension of Calabi's correspondence between the solutions of two Bernstein problems to more general elliptic nonlinear equations ⋮ Minimal surface systems, maximal surface systems and special Lagrangian equations ⋮ Extension of Krust theorem and deformations of minimal surfaces

Cites Work

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• Complete minimal surfaces in \(\mathbb{R}^3\)
• The space of complete embedded maximal surfaces with isolated singularities in the 3-dimensional Lorentz-Minkowski space
• Maximal surfaces of Riemann type in Lorentz-Minkowski space \(\mathbb L^3\)

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