Families of minimal surfaces in \(\mathbb{H}^2 \times \mathbb{R}\) foliated by arcs and their Jacobi fields

DOI10.1007/978-3-030-68541-6_5zbMath1485.53077arXiv1901.04066OpenAlexW2910902076MaRDI QIDQ2065853

Francisco Martín, Magdalena Rodríguez, Leonor Ferrer, Rafe R. Mazzeo

Publication date: 13 January 2022

Full work available at URL: https://arxiv.org/abs/1901.04066

zbMATH Keywords

Jacobi fieldsmoduli spacesminimal surfaces

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)

Cites Work

• Minimal surfaces of Riemann type in three-dimensional product manifolds
• An asymptotic theorem for minimal surfaces and existence results for minimal graphs in \({\mathbb H^2 \times \mathbb R}\)
• Minimal surfaces in \(\mathbb{H}^2\times\mathbb{R}\).
• Properly embedded minimal annuli in \(\mathbb{H}^2 \times \mathbb{R}\)
• The Dirichlet problem for the minimal surface equation, with possible infinite boundary data, over domains in a Riemannian surface
• Isometric immersions into $\mathbb {S}^n\times \mathbb {R}$ and $\mathbb {H}^n\times \mathbb {R}$ and applications to minimal surfaces
• On the asymptotic behavior of minimal surfaces in $\\mathbb{H}^2\\times\\mathbb{R}$

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