The first Dirac eigenvalues on manifolds with positive scalar curvature

Bär, Christian; Dahl, Mattias

doi:10.1090/S0002-9939-04-07427-1

The first Dirac eigenvalues on manifolds with positive scalar curvature
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by Christian Bär and Mattias Dahl PDF

Proc. Amer. Math. Soc. 132 (2004), 3337-3344 Request permission

Abstract:

We show that on every compact spin manifold admitting a Riemannian metric of positive scalar curvature Friedrich’s eigenvalue estimate for the Dirac operator can be made sharp up to an arbitrarily small given error by choosing the metric suitably.

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