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Smyth surfaces and the drehriss

Burns, John M.
; 
Clancy, Michael J.
Repository DOI
Publication Date
2005-09-15
Keywords
surfaces, constant mean curvature, isometric deformations, delaunay
Type
Article
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Citation
Burns, John M. Clancy, Michael J. (2005). Smyth surfaces and the drehriss. Proceedings of the Edinburgh Mathematical Society 48 , 549-555
Abstract
Isometric deformations of immersed surfaces in Euclidean 3-space are studied by means of the drehriss. When the immersion is of constant mean curvature and the deformation preserves the mean curvature, we determine the drehriss explicitly in terms of the immersion and its Gauss map. These methods are applied to obtain an alternative classification of the Smyth surfaces, i.e. constant mean curvature immersions of the plane into Euclidean 3-space which admit the action of S-1 as a non-trivial group of internal isometries.
Funder
Publisher
Cambridge University Press (CUP)
Publisher DOI
10.1017/s0013091504000598
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (1)