SMYTH SURFACES AND THE DREHRISS
2005 ◽
Vol 48
(3)
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pp. 549-555
Keyword(s):
The Mean
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AbstractIsometric 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.
2015 ◽
Vol 99
(3)
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pp. 415-427
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Keyword(s):
1972 ◽
Vol 45
◽
pp. 139-165
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2015 ◽
Vol 26
(02)
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pp. 1550014
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1992 ◽
Vol 34
(3)
◽
pp. 355-359
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Keyword(s):
1982 ◽
Vol 57
(1)
◽
pp. 519-531
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