AbstractIn this paper, we study the buckling eigenvalue β1 for a domain in a Riemannian manifold. We give an upper bound for β1 in the case of a two dimensional surface. The results are applied to study the stability of harmonic Gauss maps and to study the Hamiltonian stability of minimal Lagrangian submanifolds in Einstein-Kähler manifolds
We present a unified description of extremal metrics for the Laplace and Steklov eigenvalues on mani...
We prove inequalities for Laplace eigenvalues on Riemannian manifolds generalising to higher eigenva...
International audienceWe prove stability results associated with upper bounds for the first eigenval...
AbstractThe Gauss map of any oriented hypersurface of Sn defines a Lagrangian submanifold of the Gra...
AbstractThe Gauss map of any oriented hypersurface of Sn defines a Lagrangian submanifold of the Gra...
AbstractIn this paper, we establish sharp inequalities for four kinds of classical eigenvalues in bo...
AbstractLet M be an n-dimensional compact hypersurface without boundary in a unit sphere Sn+1(1). M ...
Abstract In this paper, we use the Reilly formula and the Hessian comparison theorem to estimate the...
The Gauss images of isoparametric hypersufaces of the standard sphere Sn+1 provide a rich class of c...
In this paper, we study the analogue in Gauss space of Lord Rayleigh’s conjecture for the clamped pl...
We study the eigenvalues of the Laplacian on ellipsoids that are obtained as perturbations of the st...
Over the last fifty years, the problem of finding sharp upper bounds for area-normalized Laplacian e...
International audienceGiven two Fuchsian representations ρ l and ρr of the fundamental group of a cl...
A compact minimal Lagrangian submanifold immersed in a Kahler manifold is called Hamiltonian stable ...
We study eigenvalue problems for intrinsic sub-Laplacians on regular sub-Riemannian manifolds. We pr...
We present a unified description of extremal metrics for the Laplace and Steklov eigenvalues on mani...
We prove inequalities for Laplace eigenvalues on Riemannian manifolds generalising to higher eigenva...
International audienceWe prove stability results associated with upper bounds for the first eigenval...
AbstractThe Gauss map of any oriented hypersurface of Sn defines a Lagrangian submanifold of the Gra...
AbstractThe Gauss map of any oriented hypersurface of Sn defines a Lagrangian submanifold of the Gra...
AbstractIn this paper, we establish sharp inequalities for four kinds of classical eigenvalues in bo...
AbstractLet M be an n-dimensional compact hypersurface without boundary in a unit sphere Sn+1(1). M ...
Abstract In this paper, we use the Reilly formula and the Hessian comparison theorem to estimate the...
The Gauss images of isoparametric hypersufaces of the standard sphere Sn+1 provide a rich class of c...
In this paper, we study the analogue in Gauss space of Lord Rayleigh’s conjecture for the clamped pl...
We study the eigenvalues of the Laplacian on ellipsoids that are obtained as perturbations of the st...
Over the last fifty years, the problem of finding sharp upper bounds for area-normalized Laplacian e...
International audienceGiven two Fuchsian representations ρ l and ρr of the fundamental group of a cl...
A compact minimal Lagrangian submanifold immersed in a Kahler manifold is called Hamiltonian stable ...
We study eigenvalue problems for intrinsic sub-Laplacians on regular sub-Riemannian manifolds. We pr...
We present a unified description of extremal metrics for the Laplace and Steklov eigenvalues on mani...
We prove inequalities for Laplace eigenvalues on Riemannian manifolds generalising to higher eigenva...
International audienceWe prove stability results associated with upper bounds for the first eigenval...
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