Complete nonorientable minimal surfaces in a ball of $\mathbb {R}^3$

DOI10.1090/S0002-9947-06-04004-9zbMath1095.53011OpenAlexW1575192410MaRDI QIDQ5469951

Santiago Morales, Francisco J. López, Francisco Martín

Publication date: 29 May 2006

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-04004-9

zbMATH Keywords

topological typegenusendsbounded complete minimal surfaces

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (11)

Complete bounded null curves immersed in \(\mathbb C^3\) and \(\mathrm{SL}(2,\mathbb C)\) ⋮ Complete bounded holomorphic curves immersed in $\mathbb {C}^2$ with arbitrary genus ⋮ Remarks on the Gauss images of complete minimal surfaces in Euclidean four-space ⋮ The spectrum of the Laplacian and volume growth of proper minimal submanifolds ⋮ New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in ℝⁿ ⋮ Existence of proper minimal surfaces of arbitrary topological type ⋮ Spectrum Estimates and Applications to Geometry ⋮ Eigenvalue estimates for the drifting Laplacian and the p-Laplacian on submanifolds of warped products ⋮ Eigenvalue estimates for submanifolds with locally bounded mean curvature in $N \times \mathbb {R}$ ⋮ Isoperimetric inequalities for submanifolds. Jellett-Minkowski's formula revisited ⋮ Approximation theory for nonorientable minimal surfaces and applications

Cites Work

• Unnamed Item
• The classification of complete minimal surfaces in \(R^ 3\) with total curvature greater than -8pi
• Adding handles to Nadirashvili's surfaces
• Complete nonorientable minimal surfaces and symmetries
• Fonction theory on compact Riemann surfaces
• A complete bounded minimal cylinder in \(\mathbb R^3\)
• Hadamard's and Calabi-Yau's conjectures on negatively curved and minimal surfaces

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