Flat surfaces of finite type in the 3-sphere

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.

Grantor dc:publisher

University College Cork

Year dc:date.issued

2014

Author dc:creator

• McCarthy, Alan

Advisor dc:contributor.advisor

• Kilian, Martin

• Differential geometry
• Finite gap
• Flat tori

Statement dc:rights

• © 2014, Alan McCarthy.

Licence dc:rights.uri

• http://creativecommons.org/licenses/by-nc-nd/3.0/

Language dc:language.iso

en

Handle dc:identifier.uri

https://hdl.handle.net/10468/1935

OAI identifier oai:identifier

oai:cora.ucc.ie:10468/1935