
The Library
Dynamical properties of algebraic systems : a study in closed geodesics
Tools
Spatzier, Ralf Jürgen (1983) Dynamical properties of algebraic systems : a study in closed geodesics. PhD thesis, University of Warwick.
|
PDF
WRAP_THESIS_Spatzier_1983.pdf - Submitted Version - Requires a PDF viewer. Download (42Mb) | Preview |
Official URL: http://webcat.warwick.ac.uk/record=b1755448~S1
Abstract
To a great extent, rigidity theory is the study of boundaries of semisimple groups. Here we investigate the action of a lattice on such a boundary. While we can construct topological factors for real rank 1 groups we show the nonexistence of such factors in higher rank for some cases.
We also study the geodesic flow on a compact locally symmetric manifold of the noncompact type. He calculate metric and topological entropies and see that the Liouville measure is a measure or maximal entropy. This leads to a study of compact maximal flats. We give a new proof of their density in the space of all flats. We prove specification and expansiveness theorems for the geodesic flow and apply them to determine a growth rate for compact maximal flats. Finally, we give an example of a space with infinitely many closed singular geodesics.
Item Type: | Thesis (PhD) | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Geodesics (Mathematics), Rigidity (Geometry) | ||||
Official Date: | 1983 | ||||
Dates: |
|
||||
Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Series, Caroline ; Katok, A. B. | ||||
Extent: | [11], 123 leaves | ||||
Language: | eng |
Request changes or add full text files to a record
Repository staff actions (login required)
![]() |
View Item |
Downloads
Downloads per month over past year