Large Scale Geometry of Stratified Nilpotent Lie Groups
Abstract:
We develop a purely algebraic condition on the Lie algebra of a stratified nilpotent Lie group for having Euclidean filling functions in the low dimensions and sub-Euclidean filling functions in the high dimensions. We find a sufficient criterion for such groups to have a super-Euclidean filling function. Further we bound the higher divergence functions of stratified nilpotent Lie groups.
| Zugehörige Institution(en) am KIT | Institut für Algebra und Geometrie (IAG) |
| Publikationstyp | Hochschulschrift |
| Jahr | 2016 |
| Sprache | Englisch |
| Identifikator | urn:nbn:de:swb:90-646245 KITopen-ID: 1000064624 |
| Verlag | KIT, Karlsruhe |
| Umfang | X, 106 S. |
| Abschlussart | Dissertation |
| Fakultät | Fakultät für Mathematik (MATH) |
| Institut | Institut für Algebra und Geometrie (IAG) |
| Prüfungsdaten | 21.12.2016 |
| Referent/Betreuer | Prof. E. Leuzinger |