Value distribution of the Gauss maps of complete minimal surfaces in \(R_ m\)

DOI10.2969/JMSJ/03540663zbMath0527.53004OpenAlexW2041087951MaRDI QIDQ595209

Hirotaka Fujimoto

Publication date: 1983

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03540663

zbMATH Keywords

Nevanlinna theoryGauss mapcomplete minimal surfacedefect relation

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Value distribution theory in higher dimensions (32H30) Picard-type theorems and generalizations for several complex variables (32H25)

Related Items (10)

Non-integrated defect relation for meromorphic maps of complete Kähler manifolds into $\mathbb{P}^{n}(\mathbb{C})$ intersecting hypersurfaces ⋮ A unicity theorem for meromorphic maps of a complete Kähler manifold into \({\mathbb{P}}^ N({\mathbb{C}})\) ⋮ Non-integrated defect of meromorphic maps on Kähler manifolds ⋮ Non-integrated defect relation and uniqueness theorem for meromorphic mappings on Kähler manifolds ⋮ Modified defect relations of the Gauss map and the total curvature of a complete minimal surface ⋮ Non-integrated defect relation for meromorphic mappings on Kähler manifolds intersecting non-subdegenerate families of hyperplanes ⋮ Flat surfaces in hyperbolic 3-space whose hyperbolic Gauss maps are bounded ⋮ A non-integrated defect relation for meromorphic maps of complete Kähler manifolds into a projective variety intersecting hypersurfaces ⋮ A unicity theorem for meromorphic maps of a complete Kähler manifold into ℙⁿ(ℂ) sharing hypersurfaces ⋮ Non-integrated defect relations for the Gauss maps of complete minimal surfaces with finite total curvature

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