Berger's isoperimetric problem and minimal immersions of surfaces
From MaRDI portal
Publication:1125866
DOI10.1007/BF02246788zbMath0868.58079OpenAlexW2050092130WikidataQ126181243 ScholiaQ126181243MaRDI QIDQ1125866
Publication date: 17 August 1997
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/58250
Related Items (60)
Extremal metrics for the first eigenvalue of the Laplacian in a conformal class ⋮ On a new functional for extremal metrics of the conformal Laplacian in high dimensions ⋮ A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle ⋮ On the first eigenvalue of the Laplacian on compact surfaces of genus three ⋮ Regularity of conformal metrics with large first eigenvalue ⋮ A note on Willmore minimizing Klein bottles in Euclidean space ⋮ On the Friedlander-Nadirashvili invariants of surfaces ⋮ A characterization of the disk by eigenfunction of the Steklov eigenvalue ⋮ The first eigenvalue of the Laplacian on orientable surfaces ⋮ On the distribution of perturbations of propagated Schrödinger eigenfunctions ⋮ Extremal metrics for combinations of Laplace eigenvalues and minimal surfaces into ellipsoids ⋮ First eigenvalue of the Laplacian on compact surfaces for large genera ⋮ Geometry. Abstracts from the workshop held June 12--18, 2022 ⋮ Critical metrics of the trace of the heat kernel on a compact manifold. ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ Existence of harmonic maps and eigenvalue optimization in higher dimensions ⋮ Isosystolic genus three surfaces critical for slow metric variations ⋮ Bipolar Lawson tau-surfaces and generalized Lawson tau-surfaces ⋮ Maximization of Laplace−Beltrami eigenvalues on closed Riemannian surfaces ⋮ Spaces of harmonic maps of the projective plane to the four-dimensional sphere ⋮ Metrics on a closed surface of genus two which maximize the first eigenvalue of the Laplacian ⋮ Variational aspects of Laplace eigenvalues on Riemannian surfaces ⋮ Extremal eigenvalues of the Laplacian on Euclidean domains and closed surfaces ⋮ Scalar curvature and \(Q\)-curvature of random metrics ⋮ Spectral properties of bipolar surfaces to Otsuki tori ⋮ Index of minimal spheres and isoperimetric eigenvalue inequalities ⋮ Existence and regularity of maximal metrics for the first Laplace eigenvalue on surfaces ⋮ Sharp asymptotics of the first eigenvalue on some degenerating surfaces ⋮ Eigenvalue Optimisation on Flat Tori and Lattice Points in Anisotropically Expanding Domains ⋮ Stable bundles and the first eigenvalue of the Laplacian ⋮ Extremal \(G\)-invariant eigenvalues of the Laplacian of \(G\)-invariant metrics ⋮ Shape perturbation of Grushin eigenvalues ⋮ Spectral properties of bipolar minimal surfaces in \(\mathbb S^4\) ⋮ Laplacian eigenvalue functionals and metric deformations on compact manifolds ⋮ Free boundary minimal surfaces and overdetermined boundary value problems ⋮ Extremal spectral properties of Otsuki tori ⋮ Spectre et géométrie conforme des variétés compactes à bord ⋮ On branched minimal immersions of surfaces by first eigenfunctions ⋮ Maximizing Neumann fundamental tones of triangles ⋮ On the Yang-Yau inequality for the first Laplace eigenvalue ⋮ Existence and geometric structure of metrics on surfaces which extremize eigenvalues ⋮ Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond ⋮ On the concentration-compactness phenomenon for the first Schrödinger eigenvalue ⋮ Qualitative and Numerical Analysis of a Spectral Problem with Perimeter Constraint ⋮ 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 ⋮ Large Steklov eigenvalues via homogenisation on manifolds ⋮ Extremal metrics for Laplace eigenvalues in perturbed conformal classes on products ⋮ Multiplicities of eigenvalues and tree-width of graphs ⋮ Variational properties of the second eigenvalue of the conformal Laplacian ⋮ Existence of metrics maximizing the first eigenvalue on non-orientable surfaces ⋮ A systolic-like extremal genus two surface ⋮ Extremal metrics for the Paneitz operator on closed four-manifolds ⋮ Sums of Laplace eigenvalues: Rotations and tight frames in higher dimensions ⋮ Critical domains for the first nonzero Neumann eigenvalue in Riemannian manifolds ⋮ An extremal eigenvalue problem in Kähler geometry ⋮ Generalized Lawson tori and Klein bottles ⋮ Laplace and Steklov extremal metrics via \(n\)-harmonic maps ⋮ Sharp eigenvalue bounds and minimal surfaces in the ball
Cites Work
- Sur la multiplicité de la premiere valeur propre des surfaces riemanniennes
- Propriétés génériques des fonctions propres et multiplicité. (Generic properties of eigenfunctions and multiplicity)
- Minimal immersions of surfaces by the first eigenfunctions and conformal area
- Sur la multiplicité de la première valeur propre non nulle du Laplacien. (On the multiplicity of the first nonzero eigenvalue of the Laplacian)
- Extremals of determinants of Laplacians
- Sur une hypothèse de transversalité d'Arnold. (About a transversality hypothesis of Arnold)
- Immersions minimales, première valeur propre du laplacien et volume conforme. (Minimal immersions, first eigenvalue of the Laplacian and conformal volume)
- A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
- Eigenfunctions and nodal sets
- Some inequalities in certain nonorientable Riemannian manifolds
- ON GEOMETRIC PROPERTIES OF FUNCTIONS WITH GENERALIZED FIRST DERIVATIVES
- Local Properties of Solutions of Schrödinger Equations
- Special Divisors and Analytic Subloci of Teichmueller Space
- Convex Analysis
- MULTIPLE EIGENVALUES OF THE LAPLACE OPERATOR
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Berger's isoperimetric problem and minimal immersions of surfaces
