A diffeomorphism classification of 5- and 7-dimensional non-simply-connected homogeneous spaces
A diffeomorphism classification of 5- and 7-dimensional non-simply-connected homogeneous spaces
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DissertationDate of Exam
26.06.2009Date of Publication
20.07.2009Advisor
Kreck, MatthiasCo-Referee
Hambleton, IanMetadata
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Abstract
In this thesis we classify non-simply-connected smooth closed 5- and 7-dimensional orientable manifolds with finite cyclic fundamental group up to diffeomorphism.
The manifolds which we consider admit transitive actions of Lie groups and Einstein metrics of positive scalar curvature. One can describe these manifolds as total spaces of certain principal U(1)-fibre bundles over a product of complex projective spaces.
The manifolds which we consider admit transitive actions of Lie groups and Einstein metrics of positive scalar curvature. One can describe these manifolds as total spaces of certain principal U(1)-fibre bundles over a product of complex projective spaces.
Classification (DDC)
510 MathematikOttenburger, Sadeeb: A diffeomorphism classification of 5- and 7-dimensional non-simply-connected homogeneous spaces. - Bonn, 2009. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5N-18204
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5N-18204
@phdthesis{handle:20.500.11811/4102,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5N-18204,
author = {{Sadeeb Ottenburger}},
title = {A diffeomorphism classification of 5- and 7-dimensional non-simply-connected homogeneous spaces},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2009,
month = jul,
note = {In this thesis we classify non-simply-connected smooth closed 5- and 7-dimensional orientable manifolds with finite cyclic fundamental group up to diffeomorphism.
The manifolds which we consider admit transitive actions of Lie groups and Einstein metrics of positive scalar curvature. One can describe these manifolds as total spaces of certain principal U(1)-fibre bundles over a product of complex projective spaces.},
url = {https://hdl.handle.net/20.500.11811/4102}
}
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5N-18204,
author = {{Sadeeb Ottenburger}},
title = {A diffeomorphism classification of 5- and 7-dimensional non-simply-connected homogeneous spaces},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2009,
month = jul,
note = {In this thesis we classify non-simply-connected smooth closed 5- and 7-dimensional orientable manifolds with finite cyclic fundamental group up to diffeomorphism.
The manifolds which we consider admit transitive actions of Lie groups and Einstein metrics of positive scalar curvature. One can describe these manifolds as total spaces of certain principal U(1)-fibre bundles over a product of complex projective spaces.},
url = {https://hdl.handle.net/20.500.11811/4102}
}
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