The classification of complete minimal surfaces in \(R^ 3\) with total curvature greater than -8pi

From MaRDI portal
Publication:1157788

DOI10.1215/S0012-7094-81-04829-8zbMath0472.53010OpenAlexW1511679975MaRDI QIDQ1157788

William Hamilton III Meeks

Publication date: 1981

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-81-04829-8




Related Items (30)

Explicit Björling surfaces with prescribed geometrySurfaces non-orientables de genre deuxComplete nonorientable minimal surfaces and symmetriesNonorientable maximal surfaces in the Lorentz-Minkowski 3-spaceMinimal surfaces in Euclidean spaces by way of complex analysisThe Björling problem for prescribed mean curvature surfaces in \(\mathbb{R}^3\)Conformal geometry and complete minimal surfacesHigher genus nonorientable maximal surfaces in the Lorentz-Minkowski 3-spaceSome new examples of nonorientable maximal surfaces in the Lorentz-Minkowski \(3\)-spaceNew Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in ℝⁿExistence of proper minimal surfaces of arbitrary topological typeIndex, vision number and stability of complete minimal surfacesMinimal surfaces of genus one with catenoidal endsNEW COMPLEX ANALYTIC METHODS IN THE THEORY OF MINIMAL SURFACES: A SURVEYOn complete nonorientable minimal surfaces with low total curvatureComplete non-orientable minimal surfaces in \(\mathbb{R}^{3}\) and asymptotic behaviorBending the helicoidCOMPLETE STATIONARY SURFACES IN ${\mathbb R}^4_1$ WITH TOTAL GAUSSIAN CURVATURE – ∫ KdM = 4πMinimal surfaces in \(\mathbb{R}^ 3\) and algebraic curvesComplete minimal Möbius strips in \(\mathbb R^n\) and the Björling problemSome New Examples of Nonorientable Minimal SurfacesNonorientable minimal surfaces with catenoidal endsHarmonic maps of nonorientable surfaces to four-dimensional manifoldsComplete nonorientable minimal surfaces in a ball of $\mathbb {R}^3$The classical theory of minimal surfacesApproximation theory for nonorientable minimal surfaces and applicationsSurfaces minimales non orientables de genre quelconqueA complete minimal Klein bottle in \(\mathbb{R}^ 3\)Minimal surfaces of genus one with catenoidal ends. II.Rigidity and non-rigidity results for conformal immersions




This page was built for publication: The classification of complete minimal surfaces in \(R^ 3\) with total curvature greater than -8pi