The First Dirac Eigenvalue on Manifolds with Positive Scalar Curvature

Details The First Dirac Eigenvalue on Manifolds with Positive Scalar Curvature The First Dirac Eigenvalue on Manifolds with Positive Scalar Curvature

2003-05-19

arxiv.org/abs/math/0305277v1

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

Mathematics

Differential Geometry

7 pages, 3 figures

Scientific paper

10.1090/S0002-9939-04-07427-1

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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