Construction of nonnegatively curved invariant metrics on homogeneous disc bundles
| dc.contributor.advisor | Schwachhöfer, Lorenz J. | |
| dc.contributor.author | Kayaçelebi, Artanç | |
| dc.contributor.referee | Siburg, Karl Friedrich | |
| dc.date.accepted | 2015-11-03 | |
| dc.date.accessioned | 2015-11-10T10:22:28Z | |
| dc.date.available | 2015-11-10T10:22:28Z | |
| dc.date.issued | 2015 | |
| 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.identifier.uri | http://hdl.handle.net/2003/34330 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-16407 | |
| 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.type.publicationtype | doctoralThesis | en |
| dcterms.accessRights | open access |