Eigenvalue estimates for the Dirac operator depending on the Weyl curvature tensor

Thomas Friedrich , Klaus-Dieter Kirchberg (Berlin)

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classification 🧮 math.DG

keywords tensorweylcurvaturedependingdiraceigenvalueestimatesmanifolds

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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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Eigenvalue estimates for the Dirac operator depending on the Weyl curvature tensor

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