Given $M$ a Riemannian manifold with (possibly empty) boundary, we show that its volume spectrum $\{\omega_p(M)\}_{p\in\mathbb{N}}$ satisfies a Weyl law that was conjectured by Gromov
AbstractIn this paper, we find upper bounds for the eigenvalues of the Laplacian in the conformal cl...
Abstract. We announce asymptotic lower bounds for the spectral function of the Laplacian and for the...
Given a closed Riemannian manifold of dimension less than eight, we prove a compactness result for t...
We show that the Weyl law for the volume spectrum in a compact Riemannian manifold conjectured by Gr...
It is a classical result that the spectrum of the Laplacian on a compact Riemannian manifold forms a...
We give upper bounds for the bottom of the essential spectrum of properly immersed minimal submanifo...
We study the asymptotic growth of the eigenvalues of the Laplace-Beltrami operator on singular Riema...
We establish a min-max estimate on the volume width of a closed Riemannian manifold with nonnegative...
In this note, we investigate upper bounds of the Neumann eigenvalue problem for the Laplacian of a d...
We prove that every complete non-compact manifold of finite volume contains a (possibly non-compact)...
Based on his earlier work on the vibrations of 'drums with fractal boundary', the first au...
For a closed immersed minimal submanifold $M^n$ in the unit sphere $\mathbb{S}^{N}$ $(n<N)$, we prov...
Abstract. Let (M, g0) be a closed Riemannian manifold of dimension n, for 3 ≤ n ≤ 7, and non-negativ...
To appear, London Math SocietyInternational audienceWe give upper bounds for the eigenvalues of the ...
This Ph.D. Thesis is divided into two parts. In the first part we present the barycenter method, a t...
AbstractIn this paper, we find upper bounds for the eigenvalues of the Laplacian in the conformal cl...
Abstract. We announce asymptotic lower bounds for the spectral function of the Laplacian and for the...
Given a closed Riemannian manifold of dimension less than eight, we prove a compactness result for t...
We show that the Weyl law for the volume spectrum in a compact Riemannian manifold conjectured by Gr...
It is a classical result that the spectrum of the Laplacian on a compact Riemannian manifold forms a...
We give upper bounds for the bottom of the essential spectrum of properly immersed minimal submanifo...
We study the asymptotic growth of the eigenvalues of the Laplace-Beltrami operator on singular Riema...
We establish a min-max estimate on the volume width of a closed Riemannian manifold with nonnegative...
In this note, we investigate upper bounds of the Neumann eigenvalue problem for the Laplacian of a d...
We prove that every complete non-compact manifold of finite volume contains a (possibly non-compact)...
Based on his earlier work on the vibrations of 'drums with fractal boundary', the first au...
For a closed immersed minimal submanifold $M^n$ in the unit sphere $\mathbb{S}^{N}$ $(n<N)$, we prov...
Abstract. Let (M, g0) be a closed Riemannian manifold of dimension n, for 3 ≤ n ≤ 7, and non-negativ...
To appear, London Math SocietyInternational audienceWe give upper bounds for the eigenvalues of the ...
This Ph.D. Thesis is divided into two parts. In the first part we present the barycenter method, a t...
AbstractIn this paper, we find upper bounds for the eigenvalues of the Laplacian in the conformal cl...
Abstract. We announce asymptotic lower bounds for the spectral function of the Laplacian and for the...
Given a closed Riemannian manifold of dimension less than eight, we prove a compactness result for t...
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