Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 503

Eigenvalue estimates for the Dirac operator depending on the Weyl tensor

Th. Friedrich, K.-D. Kirchberg

We prove new lower bounds for the first eigenvalue of the Dirac operator on compact manifolds whose Weyl tensor or curvature tensor, respectively, is divergence free. In the special case of Einstein manifolds, we obtain estimates depending on the Weyl tensor.

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