Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/8999| Title: | Triangles in the Heisenberg Group |
| Authors: | Cappadocia, Christopher |
| Advisor: | Nicas, Andrew |
| Department: | Mathematics |
| Keywords: | Mathematics;Mathematics |
| Publication Date: | 2010 |
| Abstract: | <p>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 <em>T</em> and S<sub>3</sub>\T for ordered and for unordered Heisenberg triangles respectively, computing homotopy type and manifold properties of the spaces, and producing a compactification of <em>T</em> up to similarity under the non-isotropic dilation.</p> |
| URI: | http://hdl.handle.net/11375/8999 |
| Identifier: | opendissertations/4161 5179 2028161 |
| Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| fulltext.pdf | 3.55 MB | Adobe PDF | View/Open |
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