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arxiv: 0706.0883 · v1 · submitted 2007-06-06 · 🧮 math.DG

Survey on eigenvalues of the Dirac operator and geometric structures

classification 🧮 math.DG
keywords diracoperatorsurveyboundseigenvaluesgeometricgivegiving
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We give a survey of results relating the restricted holonomy of a Riemannian spin manifold with lower bounds on the spectrum of its Dirac operator, giving a new proof of a result originally due to Kirchberg.

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