Defines ZMC-faces as zero mean curvature surfaces with singularities in isotropic 3-space and establishes three Osserman-type inequalities under completeness and finite total curvature, with equality tied to end asymptotics and concrete examples.
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math.DG 2years
2026 2verdicts
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Entire singly periodic spacelike maximal graphs with isolated cone-like singularities are constructed in Lorentz-Minkowski 3-space by adapting the Weierstrass representation for minimal surfaces.
citing papers explorer
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A new framework of zero mean curvature surfaces in the isotropic 3-space
Defines ZMC-faces as zero mean curvature surfaces with singularities in isotropic 3-space and establishes three Osserman-type inequalities under completeness and finite total curvature, with equality tied to end asymptotics and concrete examples.
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Singly periodic maximal graphs with isolated singularities in Lorentz-Minkowski 3-space
Entire singly periodic spacelike maximal graphs with isolated cone-like singularities are constructed in Lorentz-Minkowski 3-space by adapting the Weierstrass representation for minimal surfaces.