Gauss Map of Minimal Surfaces with Ramifiction

DOI10.2307/2154296zbMath0792.53003OpenAlexW4255350152MaRDI QIDQ3142095

Min Ru

Publication date: 24 July 1994

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

Full work available at URL: https://doi.org/10.2307/2154296

zbMATH Keywords

minimal surfaceGauss mapflatness conditions

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Value distribution theory in higher dimensions (32H30)

Related Items (11)

The value distribution of Gauss maps of immersed harmonic surfaces with ramification ⋮ Unicity results for Gauss maps of minimal surfaces immersed in \(\mathbb R^m\) ⋮ An estimate for the Gaussian curvature of minimal surfaces in \(\mathbb R^m\) whose Gauss map is ramified over a set of hyperplanes ⋮ 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 ⋮ Ramification of the Gauss map of complete minimal surfaces in \(\mathbb{R}^3\) and \(\mathbb{R}^4\) on annular ends ⋮ Algebraic curves and the Gauss map of algebraic minimal surfaces ⋮ Unnamed Item ⋮ The Gauss map of pseudo-algebraic minimal surfaces in R⁴ ⋮ Distribution value of algebraic curves and the Gauss maps on algebraic minimal surfaces ⋮ Non-integrated defect relations for the Gauss maps of complete minimal surfaces with finite total curvature

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