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arXiv · 1007.4924

Lower Bounds for the Eigenvalues of the Dirac Operator on $Spin^c$ Manifolds

Roger Nakad
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Abstract

In this paper, we extend the Hijazi inequality, involving the Energy-Momentum tensor, for the eigenvalues of the Dirac operator on $Spin^c$ manifolds without boundary. The limiting case is then studied and an example is given.

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Roger Nakad. 2010-07-28. Lower Bounds for the Eigenvalues of the Dirac Operator on $Spin^c$ Manifolds. https://doi.org/10.1016/j.geomphys.2010.06.002

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