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.
Sato,d-Minimal Surfaces in Three-Dimensional Singular Semi-Euclidean Space R0,2,1, Tamkang J
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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.