The first Dirac eigenvalues on manifolds with positive scalar curvature

Autoren: Christian Bär, Mattias Dahl (2004)

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.

Zeitschrift:
Proc. Amer. Math. Soc.
Verlag:
American Mathematical Society
Seiten:
3337-3344 (electronic)
Band:
132, no. 1

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