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The Hijazi Inequalities on Complete Riemannian Spinc Manifolds
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-03-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Nakad, Roger. 2011. The Hijazi Inequalities on Complete Riemannian Spinc Manifolds. Advances in Mathematical Physics،Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-474171
Modern Language Association (MLA)
Nakad, Roger. The Hijazi Inequalities on Complete Riemannian Spinc Manifolds. Advances in Mathematical Physics No. 2011 (2011), pp.1-14.
https://search.emarefa.net/detail/BIM-474171
American Medical Association (AMA)
Nakad, Roger. The Hijazi Inequalities on Complete Riemannian Spinc Manifolds. Advances in Mathematical Physics. 2011. Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-474171
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474171