Use this URL to cite or link to this record in EThOS: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.485955 |
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Title: | Special Isothermic Surfaces | ||||
Author: | Correia dos Santos, Susana Duarte Cordeiro |
ISNI:
0000 0001 3388 6520
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Awarding Body: | University of Bath | ||||
Current Institution: | University of Bath | ||||
Date of Award: | 2008 | ||||
Availability of Full Text: |
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Abstract: | |||||
In this work one can find a research on special isothermic surfaces of arbitrary type, and
arbitrary codimension. The invariant formulation of special isothermic surfaces in the
conformal n-sphere presented here gives a generalization of the notion, introduced by
Darboux and Bianchi, in the beginning of 20th century, of special isothermic surfaces
in a 3-dimensional space-form.
We present a study of Darboux transforms, Christoffel transforms and T-transforms
of a special isothermic surface in order to find out the behavior of these transformations.
We establish necessary and sufficient conditions for surfaces of revolution, cones and
cylinders to be special isothermic surfaces. The existence of formal Laurent series
with the analogous property of polynomial conserved quantities (the characterization
of special isothermic surfaces) is now guaranteed. Finally, we present a brief study
about the discretization of the theory of special isothermic surfaces.
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Supervisor: | Not available | Sponsor: | Not available | ||
Qualification Name: | Thesis (Ph.D.) | Qualification Level: | Doctoral | ||
EThOS ID: | uk.bl.ethos.485955 | DOI: | Not available | ||
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