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.
Recommended Citation
Cappadocia, Christopher, "Triangles in the Heisenberg Group" (2010). Open Access Dissertations and Theses. Paper 4161.
http://digitalcommons.mcmaster.ca/opendissertations/4161
McMaster University Library