Every meromorphic function is the Gauss map of a conformal minimal surface

DOI10.1007/s12220-017-9948-3zbMath1432.30030arXiv1604.00514OpenAlexW2341466667MaRDI QIDQ2332265

Franc Forstnerič, Antonio Alarcón, Francisco J. López

Publication date: 4 November 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.00514

zbMATH Keywords

minimal surfaceGauss mapRiemann surfacecomplex curve

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Riemann surfaces (30F99)

Related Items (4)

Holomorphic Legendrian curves in projectivised cotangent bundles ⋮ Minimal surfaces in Euclidean spaces by way of complex analysis ⋮ Holomorphic Legendrian curves ⋮ Interpolation by complete minimal surfaces whose Gauss map misses two points

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