The Hijazi Inequalities on Complete Riemannian Spinc Manifolds

The Hijazi Inequalities on Complete Riemannian Spinc Manifolds

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...

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Main Author: Roger Nakad
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2011/471810
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spelling doaj-46b08338ad9c4d51863869ce961b0a102021-07-02T01:23:31ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392011-01-01201110.1155/2011/471810471810The Hijazi Inequalities on Complete Riemannian Spinc ManifoldsRoger Nakad0Institut Élie Cartan, Université Henri Poincaré, Nancy I, B.P 239, 54506 Vandœuvre-Lès-Nancy Cedex, FranceWe 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.http://dx.doi.org/10.1155/2011/471810
collection DOAJ
language English
format Article
sources DOAJ
author Roger Nakad
spellingShingle Roger Nakad
The Hijazi Inequalities on Complete Riemannian Spinc Manifolds
Advances in Mathematical Physics
author_facet Roger Nakad
author_sort Roger Nakad
title The Hijazi Inequalities on Complete Riemannian Spinc Manifolds
title_short The Hijazi Inequalities on Complete Riemannian Spinc Manifolds
title_full The Hijazi Inequalities on Complete Riemannian Spinc Manifolds
title_fullStr The Hijazi Inequalities on Complete Riemannian Spinc Manifolds
title_full_unstemmed The Hijazi Inequalities on Complete Riemannian Spinc Manifolds
title_sort hijazi inequalities on complete riemannian spinc manifolds
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2011-01-01
description 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.
url http://dx.doi.org/10.1155/2011/471810
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