Item type:Doctoral Thesis, Open Access

Dirac-Operatoren und Killing-Spinoren mit Torsion

Thumbnail Image

Files

djb.pdf (957.39 KB)

Date

2013-02-22

Authors

Publisher

Philipps-Universität Marburg
DOI

Supervisors

Abstract

On a Riemannian spin manifold with parallel skew torsion, we use the twistor operator to obtain an eigenvalue estimate for the Dirac operator with torsion. We consider the equality case in dimensions four and six. In odd dimensions we describe Sasaki manifolds on which equality in the estimate is realized by Killing spinors with torsion. In dimension five we characterize all Killing spinors with torsion and obtain certain naturally reductive spaces as exceptional cases.

Review

Metadata

Contributors
Supervisor:
Dates
Created: 2012Issued: 2013-02-22Updated: 2013-02-22
DOI
https://doi.org/10.17192/z2013.0049
Faculty
Fachbereich Mathematik und Informatik
Publisher
Philipps-Universität Marburg
Language
ger
Data types
DoctoralThesis
Keywords
Twistor-SpinorenTorsionSpecial Riemannian manifolds (Einstein, Sasakian, etc.)EigenwertabschätzungenSpin and Spinc geometryDirac operatorKilling spinorsTwistor-OperatorApplications to physicsKilling-SpinorenTwistor operatorEigenvalue estimates
DFG-subjects
Spin-MannigfaltigkeitDirac-OperatorTorsion
DDC-Numbers
510
License
https://rightsstatements.org/vocab/InC-NC/1.0/
URI
https://open.uni-marburg.de/handle/10.17192/z2013.0049
show more
Becker-Bender, Julia: Dirac-Operatoren und Killing-Spinoren mit Torsion. : Philipps-Universität Marburg 2013-02-22. DOI: https://doi.org/10.17192/z2013.0049.

License

item.page.license.under-copyright
This item has been published with the following license: In Copyright

Related Items