| dc.contributor.advisor | Pidstrygach, Viktor Prof. Dr. | |
| dc.contributor.author | Tergiakidis, Ilias | |
| dc.date.accessioned | 2017-12-15T09:10:22Z | |
| dc.date.available | 2017-12-15T09:10:22Z | |
| dc.date.issued | 2017-12-15 | |
| dc.identifier.uri | http://hdl.handle.net/11858/00-1735-0000-0023-3FB1-8 | |
| dc.identifier.uri | http://dx.doi.org/10.53846/goediss-6642 | |
| dc.language.iso | eng | de |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject.ddc | 510 | de |
| dc.title | Local invariants of four-dimensional Riemannian manifolds and their application to the Ricci flow | de |
| dc.type | doctoralThesis | de |
| dc.contributor.referee | Pidstrygach, Viktor Prof. Dr. | |
| dc.date.examination | 2017-09-28 | |
| dc.description.abstracteng | In this thesis, we study the four-dimensional Ricci flow with the help of local invariants.If $(M^4, g(t))$ is a solution to the Ricci flow and $x \in M$, we can associate to the point $x$ a one-parameter family of curves, which lie on a smooth quadric in $\mathbb{P}(T_x M \otimes \mathbb{C})$. This allows us to reformulate the Cheeger-Gromov-Hamilton Compactness Theorem in the context of these curves. Furthermore we study Type I singularities in dimension four and give a characterization of the corresponding singularity models in the context of these curves as well. | de |
| dc.contributor.coReferee | Bahns, Dorothea Prof. Dr. | |
| dc.subject.eng | Ricci flow | de |
| dc.subject.eng | Type I singularities | de |
| dc.subject.eng | 4-manifolds | de |
| dc.identifier.urn | urn:nbn:de:gbv:7-11858/00-1735-0000-0023-3FB1-8-6 | |
| dc.affiliation.institute | Fakultät für Mathematik und Informatik | de |
| dc.subject.gokfull | Mathematics (PPN61756535X) | de |
| dc.identifier.ppn | 1009206885 | |