Half-space type theorems in warped product spaces with one-dimensional factor

DOI10.1007/S10711-008-9302-9zbMath1165.53362OpenAlexW2142984664MaRDI QIDQ1014919

Heudson Mirandola

Publication date: 29 April 2009

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-008-9302-9

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 (3)

Curvature estimates for graphs in warped product spaces ⋮ The influence of the boundary behavior on isometric immersions in the hyperbolic space ⋮ Half-space type theorem for translating solitons of the mean curvature flow in Euclidean space

Cites Work

• A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)
• The strong halfspace theorem for minimal surfaces
• Normal geodesic graphs of constant mean curvature
• Minimal surfaces in \(\mathbb{H}^2\times\mathbb{R}\).
• The geometry of finite topology Bryant surfaces
• Uniqueness of constant mean curvature surfaces properly immersed in a slab
• Half-space theorems for mean curvature one surfaces in hyperbolic space
• Unicity of constant mean curvature hypersurfaces in some riemannian manifolds
• CONSTANT MEAN CURVATURE HYPERSURFACES IN WARPED PRODUCT SPACES
• A tangency principle and applications

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