Use this URL to cite or link to this record in EThOS: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.347717 |
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Title: | Dynamical properties of algebraic systems : a study in closed geodesics | ||||||
Author: | Spatizier, Ralf Jürgen |
ISNI:
0000 0001 3473 668X
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Awarding Body: | University of Warwick | ||||||
Current Institution: | University of Warwick | ||||||
Date of Award: | 1983 | ||||||
Availability of Full Text: |
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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.
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Supervisor: | Not available | Sponsor: | Not available | ||||
Qualification Name: | Thesis (Ph.D.) | Qualification Level: | Doctoral | ||||
EThOS ID: | uk.bl.ethos.347717 | DOI: | Not available | ||||
Keywords: | QA Mathematics | ||||||
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