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The first Dirac eigenvalues on manifolds with positive scalar curvature |
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| Authors: | Christian Bä r Mattias Dahl |
| Institution: | Institut für Mathematik, Universität Potsdam, PF 601553, 14415 Potsdam, Germany ; Institutionen för Matematik, Kungliga Tekniska Högskolan, 100 44 Stockholm, Sweden |
| 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. |
| Keywords: | Dirac operator eigenvalue positive scalar curvature Friedrich's estimate |
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