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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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2011/471810 |
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| _version_ | 1832547697972740096 |
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| author | Roger Nakad |
| author_facet | Roger Nakad |
| author_sort | Roger Nakad |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-46b08338ad9c4d51863869ce961b0a10 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-46b08338ad9c4d51863869ce961b0a102025-02-03T06:43:47ZengWileyAdvances 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 |
| spellingShingle | Roger Nakad The Hijazi Inequalities on Complete Riemannian Spinc Manifolds Advances in Mathematical Physics |
| title | 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_short | The Hijazi Inequalities on Complete Riemannian Spinc Manifolds |
| title_sort | hijazi inequalities on complete riemannian spinc manifolds |
| url | http://dx.doi.org/10.1155/2011/471810 |
| work_keys_str_mv | AT rogernakad thehijaziinequalitiesoncompleteriemannianspincmanifolds AT rogernakad hijaziinequalitiesoncompleteriemannianspincmanifolds |