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The first Dirac eigenvalues on manifolds with positive scalar curvature
KTH, Superseded Departments, Mathematics.ORCID iD: 0000-0002-9184-1467
2004 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 132, no 11, 3337-3344 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2004. Vol. 132, no 11, 3337-3344 p.
Keyword [en]
Dirac operator, eigenvalue, positive scalar curvature, Friedrich's estimate, operator
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-23593DOI: 10.1090/S0002-9939-04-07427-1ISI: 000222815900025Scopus ID: 2-s2.0-7544220983OAI: oai:DiVA.org:kth-23593DiVA: diva2:342292
Note
QC 20100525 QC 20111114Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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Dahl, Mattias

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