Geometric Backlund Transformations In Homogeneous Spaces
| dc.contributor.author | Noonan, Matthew | en_US |
| dc.date.accessioned | 2010-10-20T20:27:33Z | |
| dc.date.available | 2010-10-20T20:27:33Z | |
| dc.date.issued | 2010-10-20 | |
| dc.description.abstract | A classical theorem of Bianchi states that two surfaces in space are the focal surfaces of a pseudospherical line congruence only if each surface has constant negative Gaussian curvature. Lie constructed a partial converse, explicitly calculating from one surface of constant negative curvature a pseudospherical line congruence and matching surface. We construct a generalization of these theorems to submanifolds of arbitrary homogeneous spaces. Applications are given to surfaces in the classical space forms and in a novel geometry related to the group of Lie sphere transformations. | en_US |
| dc.identifier.other | bibid: 7061582 | |
| dc.identifier.uri | https://hdl.handle.net/1813/17772 | |
| dc.language.iso | en_US | en_US |
| dc.title | Geometric Backlund Transformations In Homogeneous Spaces | en_US |
| dc.type | dissertation or thesis | en_US |
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