paper

Survey on eigenvalues of the Dirac operator and geometric structures

arXiv:0706.0883

Abstract

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.

19 pages, To appear in International Mathematical Forum (2008)

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Survey on eigenvalues of the Dirac operator and geometric structures · wovepaper