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Optimal Eigenvalues Estimate for the Dirac Operator on Domains with Boundary

✍ Scribed by Simon Raulot


Publisher
Springer
Year
2005
Tongue
English
Weight
233 KB
Volume
73
Category
Article
ISSN
0377-9017

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Eigenvalue estimates for the Dirac opera
✍ Thomas Friedrich; Klaus-Dieter Kirchberg πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 87 KB

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.