Complete bounded null curves immersed in \(\mathbb C^3\) and \(\mathrm{SL}(2,\mathbb C)\)

DOI10.1007/s00526-009-0226-5zbMath1172.53007OpenAlexW1839545319MaRDI QIDQ834634

Kotaro Yamada, Masaaki Umehara, Francisco Martín

Publication date: 27 August 2009

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-009-0226-5

zbMATH Keywords

minimal surfacesnull curves

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (6)

The number of conformally equivalent maximal graphs ⋮ Compact complete null curves in complex 3-space ⋮ Erratum to: ``Complete bounded null curves immersed in \(\mathbb{C}^3\) and \(\mathrm{SL}(2,\mathbb{C})\) ⋮ Null curves in \({\mathbb{C}^3}\) and Calabi-Yau conjectures ⋮ Null curves and directed immersions of open Riemann surfaces ⋮ Complete minimal surfaces in \(\mathbb R^3\) with a prescribed coordinate function

Cites Work

• Unnamed Item
• Unnamed Item
• Spacelike CMC 1 surfaces with elliptic ends in de Sitter 3-space
• A Jordan curve spanned by a complete minimal surface
• Spacelike mean curvature one surfaces in de Sitter 3-space
• A complete minimal surface in \(R^ 3\) between two parallel planes
• On the radial variation of bounded analytic functions on the disc
• Adding handles to Nadirashvili's surfaces
• Complete surfaces of constant mean curvature-1 in the hyperbolic 3-space
• Surfaces of constant mean curvature \(c\) in \(H^ 3(-c^ 2)\) with prescribed hyperbolic Gauss map
• Notes of the proof by N. Nadirashvili of conjectures of Hadamard and Calabi-Yau
• The Calabi-Yau conjectures for embedded surfaces
• Maximal surfaces with singularities in Minkowski space
• On the Calabi-Yau problem for maximal surfaces in \(\mathbb L^3\)
• A Complete Bounded Complex Submanifold of C 3
• Complete nonorientable minimal surfaces in a ball of $\mathbb {R}^3$
• Hadamard's and Calabi-Yau's conjectures on negatively curved and minimal surfaces

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