Minimal Surfaces in three-sphere with special spherical symmetry

We introduce the notion of special spherical symmetry and classify the complete regular minimal surfaces in the three sphere having this symmetry. We also show that the Clifford torus is the unique embedded minimal torus in three sphere possessing special spherical symmetry.

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Georgia Institute of Technology

Year dc:date.issued

2004

Author dc:creator

• Hynd, Ryan Charles

Advisor dc:contributor.advisor

• McCuan, John

Committee members dc:contributor.committeemember

• Evans Harrell
• Thomas Morley

• Mean Curvature
• Stereographic projection

Language dc:language.iso

en_US

Handle dc:identifier.uri

http://hdl.handle.net/1853/5104

OAI identifier oai:identifier

oai:repository.gatech.edu:1853/5104