Flat surfaces of finite type in the 3-sphere
dc.check.embargoformat | E-thesis on CORA only | en |
dc.check.opt-out | No | en |
dc.check.reason | This thesis is due for publication or the author is actively seeking to publish this material | en |
dc.contributor.advisor | Kilian, Martin | en |
dc.contributor.author | McCarthy, Alan | |
dc.date.accessioned | 2015-08-20T15:29:12Z | |
dc.date.issued | 2014 | |
dc.date.submitted | 2014 | |
dc.description.abstract | We introduce the notion of flat surfaces of finite type in the 3- sphere, give the algebro-geometric description in terms of spectral curves and polynomial Killing fields, and show that finite type flat surfaces generated by curves on S2 with periodic curvature functions are dense in the space of all flat surfaces generated by curves on S2 with periodic curvature functions. | en |
dc.description.status | Not peer reviewed | en |
dc.description.version | Accepted Version | |
dc.format.mimetype | application/pdf | en |
dc.identifier.citation | McCarthy, A. 2014. Flat surfaces of finite type in the 3-sphere. PhD Thesis, University College Cork. | en |
dc.identifier.endpage | 87 | |
dc.identifier.uri | https://hdl.handle.net/10468/1935 | |
dc.language.iso | en | en |
dc.publisher | University College Cork | en |
dc.rights | © 2014, Alan McCarthy. | en |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/ | en |
dc.subject | Differential geometry | en |
dc.subject | Finite gap | en |
dc.subject | Flat tori | en |
dc.thesis.opt-out | false | |
dc.title | Flat surfaces of finite type in the 3-sphere | en |
dc.type | Doctoral thesis | en |
dc.type.qualificationlevel | Doctoral | en |
dc.type.qualificationname | PhD (Arts) | en |
ucc.workflow.supervisor | m.kilian@ucc.ie |
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