We use a modified Bochner technique to derive an inequality relating the nodal set of eigenspinors to eigenvalues of the Dirac operator on closed surfaces. In addition, we apply this technique to solutions of similar spinorial equations.© The Author(s
À paraître dans Archiv der Mathematik.International audienceWe prove lower bounds for the eigenvalue...
International audienceWe give lower bounds for the eigenvalues of the submanifold Dirac operator in ...
Perturbations of the Laplacian are known as Schrodinger operators. We pose a question about perturba...
In this paper we will prove new extrinsic upper bounds for the eigenvalues of the Dirac operator on ...
In this paper we will prove new extrinsic upper bounds for the eigenvalues of the Dirac operator on ...
Abstract. We prove lower Dirac eigenvalue bounds for closed surfaces with a spin structure whose Arf...
We prove that the nodal set (zero set) of a solution of a generalized Dirac equation on a Riemannian...
It has recently been conjectured that the eigenvalues of the Dirac operator on a closed Riemannian ...
In this paper we will prove new extrinsic upper bounds for the eigenvalues of the Dirac operator on ...
International audienceWe extend the Friedrich inequality for the eigenvalues of the Dirac operator o...
International audienceWe extend the Friedrich inequality for the eigenvalues of the Dirac operator o...
We consider eigenfunctions of the Laplace–Beltrami operator on special surfaces of revolution. For t...
Abstract. We prove a result, announced by F. Nazarov, L. Polterovich and M. Sodin in [NPS], that exh...
We consider eigenfunctions of the Laplace–Beltrami operator on special surfaces of revolution. For t...
À paraître dans Archiv der Mathematik.International audienceWe prove lower bounds for the eigenvalue...
À paraître dans Archiv der Mathematik.International audienceWe prove lower bounds for the eigenvalue...
International audienceWe give lower bounds for the eigenvalues of the submanifold Dirac operator in ...
Perturbations of the Laplacian are known as Schrodinger operators. We pose a question about perturba...
In this paper we will prove new extrinsic upper bounds for the eigenvalues of the Dirac operator on ...
In this paper we will prove new extrinsic upper bounds for the eigenvalues of the Dirac operator on ...
Abstract. We prove lower Dirac eigenvalue bounds for closed surfaces with a spin structure whose Arf...
We prove that the nodal set (zero set) of a solution of a generalized Dirac equation on a Riemannian...
It has recently been conjectured that the eigenvalues of the Dirac operator on a closed Riemannian ...
In this paper we will prove new extrinsic upper bounds for the eigenvalues of the Dirac operator on ...
International audienceWe extend the Friedrich inequality for the eigenvalues of the Dirac operator o...
International audienceWe extend the Friedrich inequality for the eigenvalues of the Dirac operator o...
We consider eigenfunctions of the Laplace–Beltrami operator on special surfaces of revolution. For t...
Abstract. We prove a result, announced by F. Nazarov, L. Polterovich and M. Sodin in [NPS], that exh...
We consider eigenfunctions of the Laplace–Beltrami operator on special surfaces of revolution. For t...
À paraître dans Archiv der Mathematik.International audienceWe prove lower bounds for the eigenvalue...
À paraître dans Archiv der Mathematik.International audienceWe prove lower bounds for the eigenvalue...
International audienceWe give lower bounds for the eigenvalues of the submanifold Dirac operator in ...
Perturbations of the Laplacian are known as Schrodinger operators. We pose a question about perturba...