Add to ORKGIncludes bibliographical references (page 61)We study the eigenvalue problem for the Hodge Laplacian on compact manifolds. In particular, for warped product manifolds we use seperation of variables to find corresponding boundary value problems on an interval. We solve for the eigenvalues and eigenfunctions on the sphere using spherical harmonics. Then we investigate the general case for the lower eigenvalues on p-forms
We examine the relationship between the singular set of a compact Riemann- ian orbifold and the spe...
The aim of this paper is to construct a sharp general inequality for warped product pseudo-slant sub...
We are interested in algorithms for constructing surfaces \Gamma of possibly small measure that sepa...
We study the gap of the first eigenvalue of the Hodge Laplacian acting on p-differential forms of a ma...
We derive a Reilly-type formula for differential p-forms on a compact manifold with boundary and app...
22 pagesWe derive a Reilly-type formula for differential p-forms on a compact manifold with boundary...
AbstractThe central aim of this paper is the study of the spectrum of the Hodge Laplacian on differe...
We give upper and lower bounds of the first eigenvalue of the Hodge Laplacian acting on smooth p-for...
We study the first eigenvalue of the Laplacian acting on differential forms on a compact Riemannian ...
This article explores and develops opportunities Fourier method of separation ofvariables for the st...
For each degree p, we construct on any closed manifold a family of Riemannian metrics, with fixed vo...
AbstractWe study here the convergence of eigenvalues and eigenforms of the Laplace operator Δ = (dδ ...
summary:We are interested in algorithms for constructing surfaces $\Gamma $ of possibly small measur...
AbstractWe explicitly compute the essential spectrum of the Laplace–Beltrami operator for p-forms fo...
We give an extrinsic upper bound for the first positive eigenvalue of the Hodge Laplacian acting on ...
We examine the relationship between the singular set of a compact Riemann- ian orbifold and the spe...
The aim of this paper is to construct a sharp general inequality for warped product pseudo-slant sub...
We are interested in algorithms for constructing surfaces \Gamma of possibly small measure that sepa...
We study the gap of the first eigenvalue of the Hodge Laplacian acting on p-differential forms of a ma...
We derive a Reilly-type formula for differential p-forms on a compact manifold with boundary and app...
22 pagesWe derive a Reilly-type formula for differential p-forms on a compact manifold with boundary...
AbstractThe central aim of this paper is the study of the spectrum of the Hodge Laplacian on differe...
We give upper and lower bounds of the first eigenvalue of the Hodge Laplacian acting on smooth p-for...
We study the first eigenvalue of the Laplacian acting on differential forms on a compact Riemannian ...
This article explores and develops opportunities Fourier method of separation ofvariables for the st...
For each degree p, we construct on any closed manifold a family of Riemannian metrics, with fixed vo...
AbstractWe study here the convergence of eigenvalues and eigenforms of the Laplace operator Δ = (dδ ...
summary:We are interested in algorithms for constructing surfaces $\Gamma $ of possibly small measur...
AbstractWe explicitly compute the essential spectrum of the Laplace–Beltrami operator for p-forms fo...
We give an extrinsic upper bound for the first positive eigenvalue of the Hodge Laplacian acting on ...
We examine the relationship between the singular set of a compact Riemann- ian orbifold and the spe...
The aim of this paper is to construct a sharp general inequality for warped product pseudo-slant sub...
We are interested in algorithms for constructing surfaces \Gamma of possibly small measure that sepa...