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Manifolds with Killing Spinors and Pinching of First Dirac Eigenvalues

dc.contributor.advisorBallmann, Werner
dc.contributor.authorVargas Domínguez, Andrés
dc.date.accessioned2020-04-10T14:27:41Z
dc.date.available2020-04-10T14:27:41Z
dc.date.issued2007
dc.identifier.urihttp://hdl.handle.net/20.500.11811/3074
dc.description.abstractWe consider compact manifolds with metrics of Hölder regularity C1, a and employ the theory of convergence of Riemannian manifolds in this case, to study Riemannian spin manifolds carrying almost Killing spinors and converging in the C1, a-topology. The existence of a Killing spinor in the limit and the smoothness of the limit metric are obtained. Pinching results are found for the first eigenvalues of the Dirac operator using these techniques. In particular, the n-dimensional sphere is characterized by proximity of enough eigenvalues of the Dirac operator to the value n/2.
dc.language.isoeng
dc.rightsIn Copyright
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectDirac-Operator
dc.subjectKilling-Spinoren
dc.subjectHölder-Metriken
dc.subjectschwache Krümmung
dc.subjectKonvergenz von Mannigfaltigkeiten
dc.subjectEigenwert-Pinching
dc.subjectHölder metrics
dc.subjecteigenvalue pinching
dc.subjectweak curvature
dc.subjectconvergence of manifolds
dc.subjectkilling spinors
dc.subject.ddc510 Mathematik
dc.titleManifolds with Killing Spinors and Pinching of First Dirac Eigenvalues
dc.typeDissertation oder Habilitation
dc.publisher.nameUniversitäts- und Landesbibliothek Bonn
dc.publisher.locationBonn
dc.rights.accessRightsopenAccess
dc.identifier.urnhttps://nbn-resolving.org/urn:nbn:de:hbz:5N-10015
ulbbn.pubtypeErstveröffentlichung
ulbbnediss.affiliation.nameRheinische Friedrich-Wilhelms-Universität Bonn
ulbbnediss.affiliation.locationBonn
ulbbnediss.thesis.levelDissertation
ulbbnediss.dissID1001
ulbbnediss.date.accepted2007-03-16
ulbbnediss.fakultaetMathematisch-Naturwissenschaftliche Fakultät
dc.contributor.coRefereeAmmann, Bernd


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