The maximum principle at infinity for minimal surfaces in flat three manifolds

William H. Meeks, Harold Rosenberg

Type: Article

Publication Date: 1990-12-01

Citations: 50

DOI: https://doi.org/10.1007/bf02566606

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Locations

Commentarii Mathematici Helvetici - View

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Works That Cite This (47)

Action	Title	Year	Authors
+	Maximum principle at infinity for complete minimal surfaces in flat 3-manifolds	1995	Marc Soret
+	The geometry and conformal structure of properly embedded minimal surfaces of finite topology in ℝ3	1993	William H. Meeks Harold Rosenberg
+	Some uniqueness and nonexistence theorems for embedded minimal surfaces	1993	Joaquín Pérez Antonio R�os
+	Loop Group Methods for Constant Mean Curvature Surfaces	2006	Shoichi Fujimori Shimpei Kobayashi Wayne Rossman
+	The Riemann minimal examples	2016	William H. Meeks Joaquín Pérez
+	Half-Space Theorems for $$\textbf{1}$$-Surfaces of $$\mathbb {H}^3$$	2024	G. Pacelli Bessa Tiarlos Cruz Leandro F. Pessoa
+	Embedded minimal surfaces: removable singularities, local pictures and parking garage structures, the dynamics of dilation invariant collections and the characterization of examples of quadratic curvature decay.	2005	William H. Meeks Antonio R�os
+ PDF Chat	On solutions of the exterior Dirichlet problem for the minimal surface equation	1993	Ernst Kuwert
+ PDF Chat	The classification of doubly periodic minimal tori with parallel ends	2005	Joaquín Pérez M. Magdalena Rodríguez Martin Traizet
+ PDF Chat	The topological uniqueness of complete one-ended minimal surfaces and Heegaard surfaces in ℝ³	1997	Charles Frohman William H. Meeks

Works Cited by This (19)

Action	Title	Year	Authors
+ PDF Chat	Uniqueness, symmetry, and embeddedness of minimal surfaces	1983	Richard Schoen
+ PDF Chat	Spaces of constant curvature	2010	Joseph A. Wolf
+	A maximum principle at infinity for minimal surfaces and applications	1988	Rémi Langevin Harold Rosenberg
+	Lectures on Geometric Measure Theory	1984	Leon Simon
+	The strong halfspace theorem for minimal surfaces	1990	David Hoffman William H. Meeks
+	Stable Complete Minimal Surfaces in R 3 are Planes	2012	Manfredo do Carmo Cheng Peng
+	The structure of complete stable minimal surfaces in 3‐manifolds of non‐negative scalar curvature	1980	D. Fischer-Colbrie Richard Schoen
+	The existence of embedded minimal surfaces and the problem of uniqueness	1982	William H. Meeks Shing‐Tung Yau
+ PDF Chat	A rigidity theorem for properly embedded minimal surfaces in ${\bf R}\sp 3$	1990	Hyeong In Choi William H. Meeks Brian White
+ PDF Chat	The asymptotic behavior of properly embedded minimal surfaces of finite topology	1989	David Hoffman William H. Meeks