Eigenvalue Inequalities for Minimal Submanifolds and P-Manifolds.
Eigenvalue relationships between Laplacians of constant mean curvature hypersurfaces in
For compact hypersurfaces with constant mean curvature in the unit sphere, we give a comparison theorem between eigenvalues of the stability operator and that of the Hodge Laplacian on 1-forms. Furthermore, we also establish a comparison theorem between eigenvalues of the stability operator and that of the rough Laplacian.
Eigenvalue stability bounds via weighted Sobolov spaces.
Eigenvalues of the laplacian of compact Riemann surfaces and minimal submanifolds
Embedding Riemannian Manifolds by Their Heat Kernel.
Entropy and localization of eigenfunctions
Ergodicité et fonctions propres du laplacien
Errata to the paper "On a functional equation satisfied by certain Dirichlet series" (Acta Arith. 71 (1995), 265-272)
Erratum: Spectra of Compact Locally Symmetric Manidfolds of Negative Curvature.
Erratum to Von Neumann Spectra Near Zero.
Error estimate in the generalized Szegö theorem
Estimates of the first eigenvalue of a big cup domain of a 2-sphere
Estimations spectrales autour d'un niveau critique
Étude spectrale d'opérateurs hypoelliptiques à caractéristiques multiples
Exotic structures on 4-manifolds detected by spectral invariants.
Extension of Bochner-Lichnérowicz formula on spheres
Extrema de valeurs propres dans une classe conforme
On s’intéresse au problème de savoir quelle est la rigidité apportée au spectre d’une variété riemannienne compacte par le fait de fixer son volume et se classe conforme, et en particulier de déterminer si on peut faire tendre les valeurs propres vers 0 ou l’infini sous cette contrainte. On considère successivement les cas du laplacien usuel agissant sur les fonctions, l’opérateur de Dirac, le laplacien conforme et le laplacien de Hodge-de Rham.
Extremal domains for the first eigenvalue of the Laplace-Beltrami operator
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.
Extremal eigenvalue problems defined on conformal classes of compact Riemannian manifolds.
Extremal properties of eigenvalues for a metric graph
We establish the sharp lower bound for eigenvalues of a metric graph.