The Eight Geometries of the Geometrization Conjecture

Graduate Project

公开 Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_projects/jq085k748

Descriptions

Attribute Name	Values
Creator	Grady, Noella
Abstract	In this paper we explore the eight geometries of Thurston's geometrization conjecture. We begin by discussing group actions, covering space topology, fiber bundles, and Seifert fiber spaces. We make precise the notion of a geometric structure. We then discuss the two dimensional geometries including a brief proof of the uniformization theorem. We list each of the eight geometries of Thurston's geometrization conjecture and then explore in depth the geometries of the two sphere cross the real line and of the three sphere.
Resource Type	Capstone Project
Date Available	2011-11-07T17:53:46+00:00
Date Issued	2011-08-29
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	2011
Advisor	Escher, Christine M.
Academic Affiliation	Mathematics
权利声明	In Copyright
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Replaces	http://hdl.handle.net/1957/25249

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