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 |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2011/471810 |
| Summary: | 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. |
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| ISSN: | 1687-9120 1687-9139 |