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The first dirac eigenvalue on manifolds with positive scalar curvature

  • 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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Metadaten
Author details:Christian BärORCiDGND, Matthias Dahl
URL:http://xxx.uni-augsburg.de/abs/math.DG/0305277
Publication type:Article
Language:English
Year of first publication:2004
Publication year:2004
Release date:2017/03/24
Source:Proceedings of the American Mathematical Society. - 132 (2004), 11, S. 3337 - 3334
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer review:Referiert
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