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Title: Special surface classes
Author: Pember, Mason James Wyndham
ISNI:       0000 0004 5353 7485
Awarding Body: University of Bath
Current Institution: University of Bath
Date of Award: 2015
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This thesis concerns deformations of maps into submanifolds of projective spaces and in par- ticular the deformable surfaces of Lie sphere geometry. Using a gauge theoretic approach we study the transformations of Lie applicable surfaces and characterise certain classes of surfaces in terms of polynomial conserved quantities. In particular we unify isothermic, Guichard and L-isothermic surfaces as certain Lie applicable surfaces and show how their well known trans- formations arise in this setting. Another class of surfaces that is highlighted in this thesis is that of linear Weingarten surfaces in space forms and their transformations.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available