On properness of minimal surfaces with bounded curvature

DOI10.1590/S0001-37652003000300003zbMath1056.53006arXivmath/0205304MaRDI QIDQ4456563

Luquesio P. de M. Jorge, Gregório Pacelli Bessa

Publication date: 16 March 2004

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205304

zbMATH Keywords

minimal surfacebounded curvatureproper immersionproper selfintersection

Mathematics Subject Classification ID

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

Cites Work

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• Half-space theorems for minimal surfaces with bounded curvature.
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Stable complete minimal surfaces in 𝑅³ are planes
• A wild minimal plane in ℝ³

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