An estimate for the Gaussian curvature of minimal surfaces in \(\mathbb R^m\) whose Gauss map is ramified over a set of hyperplanes

DOI10.1016/j.difgeo.2013.11.005zbMath1288.53006OpenAlexW2061851937WikidataQ115356406 ScholiaQ115356406MaRDI QIDQ389358

Pham Hoang Ha

Publication date: 20 January 2014

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2013.11.005

zbMATH Keywords

minimal surfaceorbifoldsKobayashi hyperbolicityGaussian curvatureramification

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Ramification problems in algebraic geometry (14E22)

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The value distribution of Gauss maps of immersed harmonic surfaces with ramification ⋮ Picard-type theorem and curvature estimate on an open Riemann surface with ramification ⋮ Ramification of the Gauss map and the total curvature of a complete minimal surface ⋮ GAUSSIAN CURVATURE AND UNICITY PROBLEM OF GAUSS MAPS OF VARIOUS CLASSES OF SURFACES ⋮ Non-integrated defect relations for the Gauss maps of complete minimal surfaces with finite total curvature

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