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

Ricardo Sà Earp; Eric Toubiana

Displaying similar documents to “Minimal Graphs in $ℍ^{n} \times ℝ$ and $ℝ^{n + 1}$ ”

Combinatorial and group-theoretic compactifications of buildings

Pierre-Emmanuel Caprace, Jean Lécureux (2011)

Annales de l’institut Fourier

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Let $X$ be a building of arbitrary type. A compactification $𝒞_{sph} (X)$ of the set ${Res}_{sph} (X)$ of spherical residues of $X$ is introduced. We prove that it coincides with the horofunction compactification of ${Res}_{sph} (X)$ endowed with a natural combinatorial distance which we call the . Points of $𝒞_{sph} (X)$ admit amenable stabilisers in $Aut (X)$ and conversely, any amenable subgroup virtually fixes a point in $𝒞_{sph} (X)$ . In addition, it is shown that, provided $Aut (X)$ is transitive enough, this compactification also coincides with the group-theoretic...

Rigidity of Rank-One Factors of Compact Symmetric Spaces

Andrew Clarke (2011)

Annales de l’institut Fourier

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We consider the decomposition of a compact-type symmetric space into a product of factors and show that the rank-one factors, when considered as totally geodesic submanifolds of the space, are isolated from inequivalent minimal submanifolds.

Extremal domains for the first eigenvalue of the Laplace-Beltrami operator

Frank Pacard, Pieralberto Sicbaldi (2009)

Annales de l’institut Fourier

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We prove the existence of extremal domains with small prescribed volume for the first eigenvalue of Laplace-Beltrami operator in some Riemannian manifold. These domains are close to geodesic spheres of small radius centered at a nondegenerate critical point of the scalar curvature.

A linear extension operator for Whitney fields on closed o-minimal sets

Wiesław Pawłucki (2008)

Annales de l’institut Fourier

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A continuous linear extension operator, different from Whitney’s, for $𝒞^{p}$ -Whitney fields (p finite) on a closed o-minimal subset of $ℝ^{n}$ is constructed. The construction is based on special geometrical properties of o-minimal sets earlier studied by K. Kurdyka with the author.

Bounded almost global solutions for non hamiltonian semi-linear Klein-Gordon equations with radial data on compact revolution hypersurfaces

Jean-Marc Delort, Jérémie Szeftel (2006)

Annales de l’institut Fourier

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This paper is devoted to the proof of almost global existence results for Klein-Gordon equations on compact revolution hypersurfaces with non-Hamiltonian nonlinearities, when the data are smooth, small and radial. The method combines normal forms with the fact that the eigenvalues associated to radial eigenfunctions of the Laplacian on such manifolds are simple and satisfy convenient asymptotic expansions.

Displaying similar documents to “Minimal Graphs in ℍ n × ℝ and ℝ n + 1 ”

Combinatorial and group-theoretic compactifications of buildings

Rigidity of Rank-One Factors of Compact Symmetric Spaces

Extremal domains for the first eigenvalue of the Laplace-Beltrami operator

A linear extension operator for Whitney fields on closed o-minimal sets

Bounded almost global solutions for non hamiltonian semi-linear Klein-Gordon equations with radial data on compact revolution hypersurfaces

Displaying similar documents to “Minimal Graphs in $ℍ^{n} \times ℝ$ and $ℝ^{n + 1}$ ”