The logarithmic derivative for minimal surfaces in \(\mathbb R^3\).

DOI10.1007/BF03321056zbMath1062.53004MaRDI QIDQ1880502

Greg Roads, Allen Weitsman

Publication date: 28 September 2004

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

minimal surfaceNevanlinna theorylogarithmic derivative

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35)

Related Items

Estimates on partial derivatives and logarithmic partial derivatives of holomorphic functions on polydiscs and beyond

Cites Work

• The lemma of the logarithmic derivative in several complex variables
• Global properties of rational and logarithmico-rational minimal surfaces
• Nevanlinna theory for minimal surfaces of parabolic type
• The lemma of the logarithmic derivative for subharmonic functions
• The second fundamental theorem for meromorphic minimal surfaces
• Meromorphic minimal surfaces
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