Triangles in the Heisenberg Group

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
fulltext.pdf Open Access	3.55 MB	Adobe PDF	View/Open