Isoperimetric inequality for the second eigenvalue of a sphere.
From MaRDI portal
Publication:1777972
DOI10.4310/jdg/1090351388zbMath1071.58024OpenAlexW1505108320WikidataQ115201612 ScholiaQ115201612MaRDI QIDQ1777972
Publication date: 26 May 2005
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1090351388
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)
Related Items (30)
The Lieb–Thirring inequalities: Recent results and open problems ⋮ Two balls maximize the third Neumann eigenvalue in hyperbolic space ⋮ Existence and classification of \(\mathbb{S}^1\)-invariant free boundary minimal annuli and Möbius bands in \(\mathbb{B}^n\) ⋮ The first eigenvalue of the Laplacian on orientable surfaces ⋮ Maximization of the second Laplacian eigenvalue on the sphere ⋮ Optimization of the anisotropic Cheeger constant with respect to the anisotropy ⋮ Extremal metrics for combinations of Laplace eigenvalues and minimal surfaces into ellipsoids ⋮ Prescription of finite Dirichlet eigenvalues and area on surface with boundary ⋮ Bounds for eigenfunctions of the Neumann \(p\)-Laplacian on noncompact Riemannian manifolds ⋮ Maximizers beyond the hemisphere for the second Neumann eigenvalue ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues ⋮ Maximization of Laplace−Beltrami eigenvalues on closed Riemannian surfaces ⋮ Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems ⋮ Some results on higher eigenvalue optimization ⋮ Extremal eigenvalues of the Laplacian on Euclidean domains and closed surfaces ⋮ Index of minimal spheres and isoperimetric eigenvalue inequalities ⋮ Extremal \(G\)-invariant eigenvalues of the Laplacian of \(G\)-invariant metrics ⋮ Spectral properties of bipolar minimal surfaces in \(\mathbb S^4\) ⋮ Extremal spectral properties of Otsuki tori ⋮ Maximization of the second conformal eigenvalue of spheres ⋮ Shape optimization for low Neumann and Steklov eigenvalues ⋮ Isoperimetric inequalities for higher eigenvalues of the Laplace-Beltrami operator on surfaces ⋮ An isoperimetric inequality for the second non-zero eigenvalue of the Laplacian on the projective plane ⋮ An isoperimetric inequality for Laplace eigenvalues on the sphere ⋮ Variational properties of the second eigenvalue of the conformal Laplacian ⋮ Existence of metrics maximizing the first eigenvalue on non-orientable surfaces ⋮ Extremal metrics for the Paneitz operator on closed four-manifolds ⋮ Robin spectrum: two disks maximize the third eigenvalue ⋮ Generalized Lawson tori and Klein bottles
This page was built for publication: Isoperimetric inequality for the second eigenvalue of a sphere.
