Dirac eigenvalues estimates in terms of symmetric tensors

Mathematics – Differential Geometry

Scientific paper

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7 pages, 2009 NIMS Workshop Differential Geometry and Related Topics

Scientific paper

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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