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arxiv: 0909.1417 · v1 · submitted 2009-09-08 · 🧮 math.DG

Dirac eigenvalues estimates in terms of symmetric tensors

classification 🧮 math.DG
keywords diraceigenvaluesestimatessymmetrictensorsapplicationcertainconcerning
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We review some recent results concerning lower eigenvalues estimates for the Dirac operator [6, 7]. We show that Friedrich's inequality can be improved via certain well-chosen symmetric tensors and provide an application to Sasakian spin manifolds.

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