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arxiv: 1007.4924 · v1 · pith:ZV33XUONnew · submitted 2010-07-28 · 🧮 math.DG

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

classification 🧮 math.DG
keywords diraceigenvaluesmanifoldsoperatorspinboundaryboundscase
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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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