Green, Paul (1987) Vector fields and Thurston's theory of earthquakes. PhD thesis, University of Warwick.

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Abstract

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.

Item Type:	Thesis (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Vector analysis, Seismology, Geometry, Hyperbolic
Official Date:	July 1987
Dates:	Date Event July 1987 Submitted
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Epstein, D. B. A.
Sponsors:	Sussex European Research Centre, University of Minnesota
Extent:	68 leaves
Language:	eng

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