Date of Award
Master of Science (MS)
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.
Cappadocia, Christopher, "Triangles in the Heisenberg Group" (2010). Open Access Dissertations and Theses. Paper 4161.
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