Graduate Project

 

The Eight Geometries of the Geometrization Conjecture Public Deposited

Contenu téléchargeable

Télécharger le fichier PDF
https://ir.library.oregonstate.edu/concern/graduate_projects/jq085k748

Descriptions

Attribute NameValues
Creator
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
Date Available
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Academic Affiliation
Déclaration de droits
Publisher
Peer Reviewed
Language
Replaces

Des relations

Parents:

This work has no parents.

Articles