On cylindrically bounded \(H\)-hypersurfaces of \(\mathbb H^n \times \mathbb R\)
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Publication:930071
DOI10.1016/J.DIFGEO.2007.11.024zbMath1144.53073arXivmath/0611282OpenAlexW4291108808WikidataQ115357632 ScholiaQ115357632MaRDI QIDQ930071
M. Silvana Costa, Gregório Pacelli Bessa
Publication date: 19 June 2008
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0611282
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)
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Cites Work
- Foliations by hypersurfaces with constant mean curvature
- Global properties of constant mean curvature surfaces in \(\mathbb H^2\times\mathbb R\)
- An inequality between the exterior diameter and the mean curvature of bounded immersions
- Isoperimetric inequalities on minimal submanifolds of space forms
- Eigenvalue estimates for submanifolds with locally bounded mean curvature
- On the uniqueness of isoperimetric solutions and imbedded soap bubbles in non-compact symmetric spaces. I
- Isometric immersions of Riemannian manifolds
- An Estimate for the Curvature of Bounded Submanifolds
- A Generalized Maximum Principle and its Applications in Geometry
- Harmonic functions on complete riemannian manifolds
- Graphs with Parallel Mean Curvature
- Fundamental tone estimates for elliptic operators in divergence form and geometric applications
- Eigenvalue estimates for submanifolds with bounded mean curvature in the hyperbolic space
- Hadamard's and Calabi-Yau's conjectures on negatively curved and minimal surfaces
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