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The First Dirac Eigenvalue on Manifolds with Positive Scalar Curvature

Christian Baer·Mattias Dahl
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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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Christian Baer, Mattias Dahl. 2003-05-19. The First Dirac Eigenvalue on Manifolds with Positive Scalar Curvature. https://doi.org/10.1090/s0002-9939-04-07427-1

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