Minimal hypersurfaces in $\mathbb {H}^n \times \mathbb {R}$, total curvature and index (Q331855)

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English	Minimal hypersurfaces in $\mathbb {H}^n \times \mathbb {R}$, total curvature and index	scientific article

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title

Minimal hypersurfaces in $\mathbb {H}^n \times \mathbb {R}$, total curvature and index (English)

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Bollettino dell'Unione Matematica Italiana

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publication date

27 October 2016

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full work available at URL

https://arxiv.org/abs/0808.3838

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zbMATH Keywords

minimal hypersurfaces

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stability

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index

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MaRDI publication profile

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cites work

Foliation of 3-dimensional space forms by surfaces with constant mean curvature

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Number of bound states and estimates on some geometric invariants

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The index of constant mean curvature surfaces in hyperbolic 3-space

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Complete hypersurfaces with constant mean curvature and finite total curvature

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Lindelöf’s theorem for hyperbolic catenoids

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Examples of $H$-hypersurfaces in $H^n \times R$ and geometric applications

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Eigenvalue estimates for hypersurfaces in $\mathbb H^{m} \times \mathbb R$ and applications

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Q2778019

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Construction of harmonic diffeomorphisms and minimal graphs

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Index and Total Curvature of Surfaces with Constant Mean Curvature

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Hypersurfaces with $H_{r+1}=0$ in $\mathbb H^n\times\mathbb R$

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On complete minimal surfaces with finite Morse index in three manifolds

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The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature

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Q3511764

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A Schoen theorem for minimal surfaces in $\mathbb{H}^2 \times \mathbb{R}$

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Sobolev and isoperimetric inequalities for riemannian submanifolds

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A correction to: Sobolev and isoperimetric inequalities for riemannian submanifolds

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Caccioppoli's inequalities on constant mean curvature hypersurfaces in Riemannian manifolds

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On the index of constant mean curvature 1 surfaces in hyperbolic space

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Uniqueness of $H$-surfaces in $\mathbb H^2 \times \mathbb R$, $|H|\leq 1/2$, with boundary one or two parallel horizontal circles

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Maximum principle and symmetry for minimal hypersurfaces in H^nxR

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PARABOLIC AND HYPERBOLIC SCREW MOTION SURFACES IN ℍ<sup>2</sup>×ℝ

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Screw motion surfaces in $\mathbb H^2 \times \mathbb R$ and $\mathbb S^2\times \mathbb R$

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An asymptotic theorem for minimal surfaces and existence results for minimal graphs in ${\mathbb H^2 \times \mathbb R}$

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Minimal graphs in $\mathbb H^n\times \mathbb R$ and $\mathbb R^{n+1}$

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A minimal stable vertical planar end in ℍ<sup>2</sup>× ℝ has finite total curvature

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Curvature estimates for minimal hypersurfaces

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Minimal varieties in Riemannian manifolds

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Stability properties for the higher dimensional catenoid in $\mathbb R^{n+1}$

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Q5839017

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Identifiers

zbMATH Open document ID

1351.53067

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DOI

10.1007/s40574-015-0050-0

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:331855

Minimal hypersurfaces in \(\mathbb {H}^n \times \mathbb {R}\), total curvature and index (Q331855)

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Mathematics(1 entry)