Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Schwachhöfer, Lorenz J. | - |
dc.contributor.author | Kayaçelebi, Artanç | - |
dc.date.accessioned | 2015-11-10T10:22:28Z | - |
dc.date.available | 2015-11-10T10:22:28Z | - |
dc.date.issued | 2015 | - |
dc.identifier.uri | http://hdl.handle.net/2003/34330 | - |
dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-16407 | - |
dc.description.abstract | In this thesis we analyze under which conditions posed on the boundary metric we can construct nonnegatively curved invariant metrics on homogeneous disc bundles. The metrics we consider are constructed with a method which goes back to Cheeger. In course of analyzing the above stated problem it is shown that an arbitrary invariant metric on a sphere with positive sectional curvature can be extended to a positively curved metric on the ball having the sphere as its boundary, in such a way that the metric is a warped product metric near the boundary. Moreover we analyze in detail under which conditions an invariant metric on the product of an interval and a homogeneous space admits a reparametrization such that the reparametrized metric has nonnegative resp. positive sectional curvature. | en |
dc.language.iso | en | de |
dc.subject | Nonnegative sectional curvarture | en |
dc.subject | Invariant metrics | en |
dc.subject | Cheeger deformations | en |
dc.subject | Sectional curvature of homogeneous metrics | en |
dc.subject | Homogeneous disc bundles | en |
dc.subject.ddc | 510 | - |
dc.title | Construction of nonnegatively curved invariant metrics on homogeneous disc bundles | en |
dc.type | Text | en |
dc.contributor.referee | Siburg, Karl Friedrich | - |
dc.date.accepted | 2015-11-03 | - |
dc.type.publicationtype | doctoralThesis | en |
dcterms.accessRights | open access | - |
Appears in Collections: | Lehrstuhl VII: Differentialgeometrie |
Files in This Item:
File | Description | Size | Format | |
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dissertation.pdf | DNB | 563.23 kB | Adobe PDF | View/Open |
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