Curves on a plane
In this thesis, we study the space of immersions from the circle to the plane Imm(S¹,R²), modulo the group of diffeomorphisms on S¹. We discuss various Riemannian metrics and find surprisingly that the L²-metric fails to separate points. We show two methods of strengthening this metric, one to obtai...
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| Format: | Others |
| Language: | en |
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McGill University
2012
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| Online Access: | http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=106605 |