Peer-Reviewed Journal Details
Mandatory Fields
Burns, JM,Clancy, MJ
2005
October
Proceedings Of The Edinburgh Mathematical Society
Smyth surfaces and the drehriss
Published
()
Optional Fields
surfaces constant mean curvature isometric deformations Delaunay
48
549
555
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.
DOI 10.1017/S0013091504000598
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