On the Björling problem in a three-dimensional Lie group

zbMath1484.53101arXivmath/0610337MaRDI QIDQ2267710

Francesco Mercuri, Irene Ignazia Onnis

Publication date: 1 March 2010

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610337

zbMATH Keywords

minimal surfacesthree-dimensional Lie group

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 (7)

The Björling problem for timelike minimal surfaces in \({\mathbb {R}}^{4}_{1}\) ⋮ Minimal surfaces in Lorentzian Heisenberg group and Damek-Ricci spaces via the Weierstrass representation ⋮ The Björling problem for timelike surfaces in \(\mathbb R_2^4\) ⋮ The Björling problem for prescribed mean curvature surfaces in \(\mathbb{R}^3\) ⋮ Björling problem for timelike surfaces in the Lorentz-Minkowski space ⋮ A Weierstrass representation for minimal surfaces in 3-dimensional manifolds ⋮ The Björling problem for minimal surfaces in a Lorentzian three-dimensional Lie group

Cites Work

• A Weierstrass representation formula for minimal surfaces in \(\mathbb H_{3}\) and \(\mathbb H^{2} \times \mathbb R\)
• Weierstrass representation for minimal surfaces in hyperbolic space
• Invariant surfaces of the Heisenberg groups
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