Use this URL to cite or link to this record in EThOS:
Title: Vector fields and Thurston's theory of earthquakes
Author: Green, Paul
ISNI:       0000 0001 3517 2556
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1987
Availability of Full Text:
Access from EThOS:
Access from Institution:
This thesis consists of five chapters. The first chapter is a brief introduction to hyperbolic geometry. In the second chapter, we develop the theory of Mobius vector fields analogously to Mobius transformations. In the third, we prove an analogue of Thurston’s Earthquake Theorem for vector fields. In the fourth chapter we show how to define a measure on an earthquake vector field and conversely how to construct an earthquake vector field from a measured lamination. In the final chapter, we introduce uniformly bounded earthquake vector fields. The main results are contained in the third, fourth and fifth chapters.
Supervisor: Not available Sponsor: Sussex European Research Centre ; University of Minnesota
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics