Regularity of conformal metrics with large first eigenvalue
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Publication:2402794
DOI10.5802/afst.1523zbMath1373.53052OpenAlexW2566801382MaRDI QIDQ2402794
Publication date: 14 September 2017
Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/1bef0a609635c287aa9da92691bbe11692d9ae86
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
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Cites Work
- Existence and regularity of maximal metrics for the first Laplace eigenvalue on surfaces
- Upper bounds for eigenvalues of conformal metrics
- Isospectral sets of conformally equivalent metrics
- Immersions minimales, première valeur propre du laplacien et volume conforme. (Minimal immersions, first eigenvalue of the Laplacian and conformal volume)
- Berger's isoperimetric problem and minimal immersions of surfaces
- A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
- Compactness of conformal metrics with integral bounds on curvature
- Lack of compactness in conformal metrics with \(L^{d/2}\) curvature
- Extremal eigenvalues of the Laplacian in a conformal class of metrics: the `conformal spectrum'
- Compactness of isospectral conformal metrics on \(S^ 3\)
- On a rigidity result for the first conformal eigenvalue of the Laplacian
- Variational aspects of Laplace eigenvalues on Riemannian surfaces
- Isospectral Conformal Metrics on 3-Manifolds
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