On the totally ramified value number of the Gauss map of minimal surfaces

DOI10.3792/PJAA.82.1zbMATH Open1114.53004OpenAlexW2022650001MaRDI QIDQ863735

Yu Kawakami

Publication date: 7 February 2007

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1138801815

zbMATH Keywords

minimal surfaceGauss mapalgebraic minimal surfacetotally ramified value number (TRVN)

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)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• On the number of exceptional values of the Gauss map of minimal surfaces
• The Gauss map of a complete non-flat minimal surface cannot omit 7 points of the sphere
• On the Gauss curvature of minimal surfaces
• On complete minimal surfaces whose Gauss map misses two directions
• Global properties of minimal surfaces in \(E^ 3\) and \(E^ n\)
• The Gauss map of pseudo-algebraic minimal surfaces

Related Items (5)

On the number of exceptional values of the Gauss map of minimal surfaces ⋮ RAMIFICATION OVER HYPERSURFACES LOCATED IN SUBGENERAL POSITION OF THE GAUSS MAP OF COMPLETE MINIMAL SURFACES WITH FINITE TOTAL CURVATURE ⋮ Value distribution for the Gauss maps of various classes of surfaces ⋮ The Gauss images of complete minimal surfaces of genus zero of finite total curvature ⋮ The Gauss map of pseudo-algebraic minimal surfaces in R⁴

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