We establish an upper estimate for the small eigenvalues of the twisted Dirac operator on Kähler submanifolds in Kähler manifolds carrying Kählerian Killing spinors. We then compute the spectrum of the twisted Dirac operator of the canonical embedding CP d → CPn in order to test the sharpness of the upper bounds.
This volume surveys the spectral properties of the spin Dirac operator. After a brief introduction t...
International audienceWe give lower bounds for the eigenvalues of the submanifold Dirac operator in ...
Abstract. Assume that the compact Riemannian spin manifold (Mn, g) admits a G-structure with charact...
We establish an upper estimate for the small eigenvalues of the twisted Dirac operator on Kähler sub...
We establish an upper estimate for the small eigenvalues of the twisted Dirac operator on Kähler sub...
President du jury: Paul Gauduchon Rapporteurs: Helga Baum, Sebastián Montiel Autres membres: Gerard ...
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...
summary:In this paper, we explicitly determine the spectrum of Dirac operators acting on smooth sect...
summary:In this paper, we explicitly determine the spectrum of Dirac operators acting on smooth sect...
summary:In this paper, we explicitly determine the spectrum of Dirac operators acting on smooth sect...
Abstract. We study a natural Dirac operator on a Lagrangian submanifold of a Kähler manifold. We fi...
A survey of the spectral properties of the classical Dirac operator on a Riemannian spin manifold is...
We use Dirac operator techniques to a establish sharp lower bound for the first eigenvalue of the Do...
In this paper, we give an optimal lower bound for the eigenvalues of the basic Dirac operator on a q...
This volume surveys the spectral properties of the spin Dirac operator. After a brief introduction t...
International audienceWe give lower bounds for the eigenvalues of the submanifold Dirac operator in ...
Abstract. Assume that the compact Riemannian spin manifold (Mn, g) admits a G-structure with charact...
We establish an upper estimate for the small eigenvalues of the twisted Dirac operator on Kähler sub...
We establish an upper estimate for the small eigenvalues of the twisted Dirac operator on Kähler sub...
President du jury: Paul Gauduchon Rapporteurs: Helga Baum, Sebastián Montiel Autres membres: Gerard ...
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...
summary:In this paper, we explicitly determine the spectrum of Dirac operators acting on smooth sect...
summary:In this paper, we explicitly determine the spectrum of Dirac operators acting on smooth sect...
summary:In this paper, we explicitly determine the spectrum of Dirac operators acting on smooth sect...
Abstract. We study a natural Dirac operator on a Lagrangian submanifold of a Kähler manifold. We fi...
A survey of the spectral properties of the classical Dirac operator on a Riemannian spin manifold is...
We use Dirac operator techniques to a establish sharp lower bound for the first eigenvalue of the Do...
In this paper, we give an optimal lower bound for the eigenvalues of the basic Dirac operator on a q...
This volume surveys the spectral properties of the spin Dirac operator. After a brief introduction t...
International audienceWe give lower bounds for the eigenvalues of the submanifold Dirac operator in ...
Abstract. Assume that the compact Riemannian spin manifold (Mn, g) admits a G-structure with charact...