Deforming Geometries and Convex Projective Manifolds
- Author(s): Shifley, Thomas H
- Advisor(s): Cooper, Daryl
- et al.
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.