The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature

DOI10.1590/0001-3765201376911zbMath1287.53008OpenAlexW2109988249MaRDI QIDQ5413391

Pedro A. Hinojosa, Gilvaneide N. Silva

Publication date: 29 April 2014

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1590/0001-3765201376911

zbMATH Keywords

finite total curvatureGauss mapminimal surfacesimage of the Gauss map

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Cites Work

• Minimal surfaces in the large
• The topology of complete minimal surfaces of finite total Gaussian curvature
• On the number of exceptional values of the Gauss map of minimal surfaces
• Some function theoretic properties of the Gauss map for hyperbolic complete minimal surfaces
• The Gauss map of a complete non-flat minimal surface cannot omit 7 points of the sphere
• Global properties of minimal surfaces in \(E^ 3\) and \(E^ n\)

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