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Deforming Geometries and Convex Projective Manifolds

  • Author(s): Shifley, Thomas H
  • Advisor(s): Cooper, Daryl
  • et al.
Abstract

This thesis contains two separate but related projects. Part I produces explicit conjugacy paths for the product geometries, Hyperbolic 2-space cross the Real Line and Spherical 2-space cross the Real Line, that limit on Nil.Part II gives a new definition of convex projective cone manifolds, that is stable under small deformations. Deforming from cusps produces new discrete groups that arise as the holonomies of properly convex projective orbifolds.

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