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Small eigenvalues of the Conformal Laplacian
KTH, Superseded Departments, Mathematics.ORCID iD: 0000-0002-9184-1467
2003 (English)In: Geometric and Functional Analysis, ISSN 1016-443X, E-ISSN 1420-8970, Vol. 13, no 3, 483-508 p.Article in journal (Refereed) Published
Abstract [en]

We introduce a differential topological invariant for compact differentiable manifolds by counting the small eigenvalues of the Conformal Laplace operator. This invariant vanishes if and only if the manifold has a metric of positive scalar curvature. We show that the invariant does not increase under surgery of codimension at least three and we give lower and upper bounds in terms of the alpha-genus.

Place, publisher, year, edition, pages
2003. Vol. 13, no 3, 483-508 p.
Keyword [en]
simply connected manifolds, positive scalar curvature, riemannian geometry, dirac operator, spectrum
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-22761DOI: 10.1007/s00039-003-0419-6ISI: 000184936400002OAI: oai:DiVA.org:kth-22761DiVA: diva2:341459
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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