Some Picard theorems for minimal surfaces
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Publication:4433114
DOI10.1090/S0002-9947-03-03213-6zbMath1121.53007OpenAlexW2163257717MaRDI QIDQ4433114
Publication date: 29 October 2003
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03213-6
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
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Cites Work
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- Topology and curvature of minimal surfaces properly embedded in \(\mathbb{R}^ 3\)
- The strong halfspace theorem for minimal surfaces
- The structure of complete embedded surfaces with constant mean curvature
- Maximum principles at infinity
- On the Gauss map and total curvature of complete minimal surfaces and an extension of Fujimoto's theorem
- Some global properties of complete minimal surfaces of finite topology in \({\mathbb{R}{}}^ 3\)
- The geometry and conformal structure of properly embedded minimal surfaces of finite topology in \(\mathbb{R}^ 3\)
- On the existence of a proper minimal surface in \(\mathbb R^3\) with a conformal type of disk
- Nonexistence of certain complete minimal surfaces with planar ends
- Complete properly embedded minimal surfaces in \(\mathbf R^3\)
- Minimal surfaces in a wedge of a slab
- The uniqueness of the helicoid
- The topological, geometry and conformal structure of properly embedded minimal surfaces
- Parabolicity and Gauss map of minimal surfaces
- The Asymptotic Behavior of Properly Embedded Minimal Surfaces of Finite Topology
- Minimal surfaces of finite type
- Differential geometry of manifolds of figures
- Minimal surfaces in a cone