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The first Dirac eigenvalues on manifolds with positive scalar curvature
Author(s):
Christian
Bär;
Mattias
Dahl
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3337-3344.
MSC (2000):
Primary 53C27
Posted:
May 21, 2004
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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
DOI:
10.1090/S0002-9939-04-07427-1
PII:
S 0002-9939(04)07427-1
Keywords:
Dirac operator,
eigenvalue,
positive scalar curvature,
Friedrich's estimate
Received by editor(s):
July 2, 2003
Posted:
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 of article:
Copyright
2004,
American Mathematical Society
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