A Jordan curve spanned by a complete minimal surface

DOI10.1007/s00205-006-0023-7zbMath1114.49039OpenAlexW2034872888MaRDI QIDQ877815

Nikolai S. Nadirashvili, Francisco Martín

Publication date: 3 May 2007

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-006-0023-7

zbMATH Keywords

Jordan curve

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05)

Related Items

Complete bounded null curves immersed in \(\mathbb C^3\) and \(\mathrm{SL}(2,\mathbb C)\), Every bordered Riemann surface is a complete conformal minimal surface bounded by Jordan curves: Figure. 5.1., Compact complete null curves in complex 3-space, Complete non-orientable minimal surfaces in \(\mathbb{R}^{3}\) and asymptotic behavior, Spectrum Estimates and Applications to Geometry, Limit sets for complete minimal immersions, Compact complete minimal immersions in ℝ³, Complete minimal surfaces in \(\mathbb R^3\) with a prescribed coordinate function, The Calabi-Yau problem for Riemann surfaces with finite genus and countably many ends, On the Calabi-Yau problem for maximal surfaces in \(\mathbb L^3\), Isoperimetric inequalities for submanifolds. Jellett-Minkowski's formula revisited

Cites Work

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• The space of embedded minimal surfaces of fixed genus in a 3-manifold. I: Estimates off the axis for disks
• Complete proper minimal surfaces in convex bodies of \(\mathbb R^3\). II: The behavior of the limit set
• Hadamard's and Calabi-Yau's conjectures on negatively curved and minimal surfaces