Modified defect relations for the gauss map of minimal surfaces, III

DOI10.1017/S0027763000003755zbMath0739.49022OpenAlexW1541444868MaRDI QIDQ4711197

Hirotaka Fujimoto

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1017/s0027763000003755

zbMATH Keywords

Gauss mapopen Riemann surfacecomplete minimal surfacemodified defectbranching \(H\)-order

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Value distribution theory in higher dimensions (32H30)

Related Items (4)

Nevanlinna theory for minimal surfaces of parabolic type ⋮ Curvature estimate on an open Riemann surface with the induced metric ⋮ Non-integrated defect relations for the Gauss maps of complete minimal surfaces with finite total curvature ⋮ Unicity theorems for the Gauss maps of complete minimal surfaces. II

Cites Work

• Unnamed Item
• Complete surfaces of finite total curvature
• On the Gauss map and total curvature of complete minimal surfaces and an extension of Fujimoto's theorem
• Modified defect relations for the Gauss map of minimal surfaces
• Holomorphic curves and metrics of negative curvature
• Complete minimal surfaces in Euclidean \(n\)-spaces
• Modified defect relations for the Gauss map of minimal surfaces. II

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