Minimal surfaces in minimally convex domains

DOI10.1090/tran/7331zbMath1406.53004arXiv1510.04006OpenAlexW3101778609MaRDI QIDQ4644947

Antonio Alarcón, Francisco J. López, Franc Forstnerič, Barbara Drinovec Drnovšek

Publication date: 9 January 2019

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

Full work available at URL: https://arxiv.org/abs/1510.04006

zbMATH Keywords

minimal surfaceRiemann surfaceminimally convex domain

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items (8)

A barrier principle at infinity for varifolds with bounded mean curvature ⋮ Domains without parabolic minimal submanifolds and weakly hyperbolic domains ⋮ Holomorphic Legendrian curves ⋮ Proper superminimal surfaces of given conformal types in the hyperbolic four-space ⋮ New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in ℝⁿ ⋮ The Oka principle for holomorphic Legendrian curves in \(\mathbb {C}^{2n+1}\) ⋮ NEW COMPLEX ANALYTIC METHODS IN THE THEORY OF MINIMAL SURFACES: A SURVEY ⋮ Interpolation by complete minimal surfaces whose Gauss map misses two points

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