We extend the Hijazi type inequality, involving the energy-momentum tensor, to the eigenvalues of the Dirac operator on complete Riemannian Spinc manifolds without boundary and of finite volume. Under some additional assumptions, using the refined Kato inequality, we prove the Hijazi type inequality for elements of the essential spectrum. The limiting cases are also studied
duplicate entry, see hal-01267731 for the originalWe prove a new upper bound for the first eigenvalu...
duplicate entry, see hal-01267731 for the originalWe prove a new upper bound for the first eigenvalu...
Abstract. In this article, we prove a Sobolev-like inequality for the Dirac operator on closed compa...
International audienceIn this paper we prove the Spin^c analog of the Hijazi inequality on the first...
International audienceIn this paper we prove the Spin^c analog of the Hijazi inequality on the first...
We generalize the well-known lower estimates for the first eigenvalue of the Dirac operator on a com...
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...
In this paper, we extend the Hijazi inequality, involving the Energy-Momentum tensor, for the eigenv...
We derive new lower bounds for the first eigenvalue of the Dirac operator of an oriented hypersurfac...
Abstract. We give optimal lower bounds for the hypersurface Dirac operator in terms of the Yamabe nu...
International audienceWe prove a new upper bound for the first eigenvalue of the Dirac operator of a...
International audienceWe prove a new upper bound for the first eigenvalue of the Dirac operator of a...
AbstractIn this article, we prove a Sobolev-like inequality for the Dirac operator on closed compact...
14 pagesIn this paper, we prove the Hijazi inequality on compact Riemannian spin manifolds under two...
duplicate entry, see hal-01267731 for the originalWe prove a new upper bound for the first eigenvalu...
duplicate entry, see hal-01267731 for the originalWe prove a new upper bound for the first eigenvalu...
Abstract. In this article, we prove a Sobolev-like inequality for the Dirac operator on closed compa...
International audienceIn this paper we prove the Spin^c analog of the Hijazi inequality on the first...
International audienceIn this paper we prove the Spin^c analog of the Hijazi inequality on the first...
We generalize the well-known lower estimates for the first eigenvalue of the Dirac operator on a com...
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...
In this paper, we extend the Hijazi inequality, involving the Energy-Momentum tensor, for the eigenv...
We derive new lower bounds for the first eigenvalue of the Dirac operator of an oriented hypersurfac...
Abstract. We give optimal lower bounds for the hypersurface Dirac operator in terms of the Yamabe nu...
International audienceWe prove a new upper bound for the first eigenvalue of the Dirac operator of a...
International audienceWe prove a new upper bound for the first eigenvalue of the Dirac operator of a...
AbstractIn this article, we prove a Sobolev-like inequality for the Dirac operator on closed compact...
14 pagesIn this paper, we prove the Hijazi inequality on compact Riemannian spin manifolds under two...
duplicate entry, see hal-01267731 for the originalWe prove a new upper bound for the first eigenvalu...
duplicate entry, see hal-01267731 for the originalWe prove a new upper bound for the first eigenvalu...
Abstract. In this article, we prove a Sobolev-like inequality for the Dirac operator on closed compa...
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