Add to ORKGUsing a functional inequality, the essential spectrum and eigenvalues are estimated for Laplace-type operators on Riemannian vector bundles. Consequently, explicit upper bounds are obtained for the dimension of the corresponding L2-harmonic sections. In particular, some known results concerning Gromov’s theorem and the L2-Hodge decomposition are considerably improved. 2000 Mathematics Subject Classification: 58J50, 58J65. 1. Introduction. Recal
In a connected and compact Riemannian Manifold we will introduce the concept of spectre of Laplace o...
We prove that, if Δ_1 is the Hodge Laplacian acting on differential 1-forms on the (2n+1)-dimensiona...
Given an open set $\Omega$, we consider the problem of providing sharp lower bounds for $\lambda_2(\...
Using a functional inequality, the essential spectrum and eigenvalues are estimated for Laplace-type...
Using a functional inequality, the essential spectrum and eigenvalues are estimated for Laplace-type...
In this text, we survey some basic results related to the New Weyl criterion for the essential spect...
In this article we prove that, over complete manifolds of dimension $n$ with vanishing curvature at ...
We provide an upper bound for the Gromov width of compact homogeneous Hodge manifolds (M, ω) with b2...
We consider the Hodge Laplacian \u394 on the Heisenberg group Hn, endowed with a left-invariant and ...
AbstractThe spectrum and essential spectrum or the Schrödinger operator Δ + V on a complete manifold...
We prove inequalities for Laplace eigenvalues on Riemannian manifolds generalising to higher eigenva...
We give upper and lower bounds of the first eigenvalue of the Hodge Laplacian acting on smooth p-for...
In this paper, we are concerned with upper bounds of eigenvalues of Laplace operator on compact Riem...
AbstractWe are interested in Lp-estimates of harmonic sections of some vector bundles over Riemannia...
Given an open set $\Omega$, we consider the problem of providing sharp lower bounds for $\lambda_2(...
In a connected and compact Riemannian Manifold we will introduce the concept of spectre of Laplace o...
We prove that, if Δ_1 is the Hodge Laplacian acting on differential 1-forms on the (2n+1)-dimensiona...
Given an open set $\Omega$, we consider the problem of providing sharp lower bounds for $\lambda_2(\...
Using a functional inequality, the essential spectrum and eigenvalues are estimated for Laplace-type...
Using a functional inequality, the essential spectrum and eigenvalues are estimated for Laplace-type...
In this text, we survey some basic results related to the New Weyl criterion for the essential spect...
In this article we prove that, over complete manifolds of dimension $n$ with vanishing curvature at ...
We provide an upper bound for the Gromov width of compact homogeneous Hodge manifolds (M, ω) with b2...
We consider the Hodge Laplacian \u394 on the Heisenberg group Hn, endowed with a left-invariant and ...
AbstractThe spectrum and essential spectrum or the Schrödinger operator Δ + V on a complete manifold...
We prove inequalities for Laplace eigenvalues on Riemannian manifolds generalising to higher eigenva...
We give upper and lower bounds of the first eigenvalue of the Hodge Laplacian acting on smooth p-for...
In this paper, we are concerned with upper bounds of eigenvalues of Laplace operator on compact Riem...
AbstractWe are interested in Lp-estimates of harmonic sections of some vector bundles over Riemannia...
Given an open set $\Omega$, we consider the problem of providing sharp lower bounds for $\lambda_2(...
In a connected and compact Riemannian Manifold we will introduce the concept of spectre of Laplace o...
We prove that, if Δ_1 is the Hodge Laplacian acting on differential 1-forms on the (2n+1)-dimensiona...
Given an open set $\Omega$, we consider the problem of providing sharp lower bounds for $\lambda_2(\...