The first Dirac eigenvalues on manifolds with positive scalar curvature
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- by Christian Bär and Mattias Dahl PDF
- Proc. Amer. Math. Soc. 132 (2004), 3337-3344 Request permission
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.References
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Additional Information
- Christian Bär
- Affiliation: Institut für Mathematik, Universität Potsdam, PF 601553, 14415 Potsdam, Germany
- Email: baer@math.uni-potsdam.de
- Mattias Dahl
- Affiliation: Institutionen för Matematik, Kungliga Tekniska Högskolan, 100 44 Stockholm, Sweden
- Email: dahl@math.kth.se
- Received by editor(s): July 2, 2003
- Published electronically: May 21, 2004
- Additional Notes: The first author has been partially supported by the Research and Training Networks HPRN-CT-2000-00101 “EDGE” and HPRN-CT-1999-00118 “Geometric Analysis” funded by the European Commission.
- Communicated by: Józef Dodziuk
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 3337-3344
- MSC (2000): Primary 53C27
- DOI: https://doi.org/10.1090/S0002-9939-04-07427-1
- MathSciNet review: 2073310