Survey on eigenvalues of the Dirac operator and geometric structures

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)

Cited by in corpus (1)

• On the eigenvalues of the twisted Dirac operator