&&ReWrAp:HEADERFOOTER:0:ReWrAp&&

Date of Award

2010

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

Supervisor

Andrew Nicas

Language

English

Abstract

In the Heisenberg Lie group with the Carnot-Caratheodory metric, we classify geodesic triangles up to isometry in terms of side-length and geodesic parameters. We obtain an angle deficit formula for Heisenberg triangles. We construct classical moduli spaces T and S3\T for ordered and for unordered Heisenberg triangles respectively, computing homotopy type and manifold properties of the spaces, and producing a compactification of T up to similarity under the non-isotropic dilation.

McMaster University Library

Files over 3MB may be slow to open. For best results, right-click and select "save as..."

Included in

Mathematics Commons

Share

COinS