Non-simply connected minimal planar domains in $\mathbb {H}^2\times \mathbb {R}$
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Publication:2855923
DOI10.1090/S0002-9947-2013-05794-7zbMath1282.53009arXiv1106.4596OpenAlexW1497270072MaRDI QIDQ2855923
Francisco Martín, M. Magdalena Rodríguez
Publication date: 23 October 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1106.4596
Related Items (3)
Concentration of total curvature of minimal surfaces in \(\mathbb {H}^2\times \mathbb R\) ⋮ Conjugate plateau constructions in product spaces ⋮ Minimal surfaces with arbitrary topology in \(\mathbb{H}^2\times\mathbb{R}\)
Cites Work
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- Existence of proper minimal surfaces of arbitrary topological type
- Construction of harmonic diffeomorphisms and minimal graphs
- New complete embedded minimal surfaces in \({\mathbb {H} ^2\times \mathbb {R}}\)
- On subharmonic functions and differential geometry in the large
- Minimal surfaces of Riemann type in three-dimensional product manifolds
- Associate and conjugate minimal immersions in \(M \times R\)
- Minimal surfaces in \(\mathbb{H}^2\times\mathbb{R}\).
- Properly embedded minimal planar domains
- 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
- Properties of properly embedded minimal surfaces of finite topology
- The Dirichlet problem for the minimal surface equation, with infinite data
- Shapes of embedded minimal surfaces
- Saddle towers and minimal k-noids in ℍ2 × ℝ
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