Nevanlinna theory for minimal surfaces of parabolic type

DOI10.2996/kmj/1138043478zbMath0859.32013OpenAlexW2005690278MaRDI QIDQ1911160

Hirotaka Fujimoto

Publication date: 4 June 1996

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138043478

zbMATH Keywords

Nevanlinna theoryminimal surfacessecond main theoremfirst main theoremformula of Gauß-Bonnet

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) Other generalizations of function theory of one complex variable (32A30) Value distribution theory in higher dimensions (32H30)

Related Items

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

Cites Work

• The topology of complete minimal surfaces of finite total Gaussian curvature
• Modified defect relations for the Gauss map of minimal surfaces
• On the Gauss curvature of minimal surfaces
• Global properties of rational and logarithmico-rational minimal surfaces
• Complete minimal surfaces in Euclidean \(n\)-spaces
• Modified defect relations for the Gauss map of minimal surfaces. II
• Modified defect relations for the gauss map of minimal surfaces, III
• Subharmonic Functions and Minimal Surfaces
• The Equidistribution Theory of Holomorphic Curves. (AM-64)
• The second fundamental theorem for meromorphic minimal surfaces
• Meromorphic minimal surfaces
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