Representing de Rham cohomology classes on an open Riemann surface by holomorphic forms

DOI10.1142/S0129167X17400043zbMath1391.30055arXiv1704.03082MaRDI QIDQ5365314

Antonio Alarcón, Finnur Lárusson

Publication date: 6 October 2017

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.03082

zbMATH Keywords

minimal surfacede Rham cohomologyRiemann surfaceSerre fibrationholomorphic null curve

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Differentials on Riemann surfaces (30F30) Riemann surfaces (30F99)

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NEW COMPLEX ANALYTIC METHODS IN THE THEORY OF MINIMAL SURFACES: A SURVEY, Flexible domains for minimal surfaces in Euclidean spaces, Every meromorphic function is the Gauss map of a conformal minimal surface

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