Minimal planes in asymptotically flat three-manifolds

DOI10.4310/JDG/1649953568OpenAlexW2797816920WikidataQ115163907 ScholiaQ115163907MaRDI QIDQ2135664

Laurent Mazet, Harold Rosenberg

Publication date: 9 May 2022

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05658

zbMATH Keywords

properly embedded minimal plane

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Cites Work

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• Complete minimal hypersurfaces in hyperbolic n-manifolds
• Which ambient spaces admit isoperimetric inequalities for submanifolds?
• New applications of mapping degrees to minimal surface theory
• Extreme curves bound embedded minimal surfaces of the type of the disc
• Asymptotically flat three-manifolds contain minimal planes
• Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals
• The uniqueness of the helicoid
• An Infinite Dimensional Version of Sard's Theorem
• Diffeomorphisms of the 2-Sphere

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