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

preprint2010arXivOpen access

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

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Lower Bounds for the Eigenvalues of the Dirac Operator on SpincSpin^cSpinc Manifolds

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