Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/8999
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Nicas, Andrew | en_US |
dc.contributor.author | Cappadocia, Christopher | en_US |
dc.date.accessioned | 2014-06-18T16:45:01Z | - |
dc.date.available | 2014-06-18T16:45:01Z | - |
dc.date.created | 2011-05-24 | en_US |
dc.date.issued | 2010 | en_US |
dc.identifier.other | opendissertations/4161 | en_US |
dc.identifier.other | 5179 | en_US |
dc.identifier.other | 2028161 | en_US |
dc.identifier.uri | http://hdl.handle.net/11375/8999 | - |
dc.description.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> | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Mathematics | en_US |
dc.title | Triangles in the Heisenberg Group | en_US |
dc.type | thesis | en_US |
dc.contributor.department | Mathematics | en_US |
dc.description.degree | Master of Science (MS) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 3.55 MB | Adobe PDF | View/Open |
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