I. Sterling, H.C. Wente: Existence and Classifiation of Constant Mean Curvature Multibubbletons of Finite and Infinite Type; Indiana Univ. Math. J. 42 (1993) 1239-1266 This article was processed by the author using the L a T E X style file cljour1 from Springer-Verlag.  Home/Search   Document Not in Database   Summary   Related Articles

....(H 6= 0 or H = 0) in Euclidean 3 space allows a 3 parameter family of Darboux transforms into surfaces of the same constant mean curvature. Having a second look at the Darboux transform of the cylinder shown in figure 5 we recognize a strong similarity to Ivan Sterling s doublebubbleton [12]. This suggests a relation between our constant mean curvature Darboux transform and Untitled 1 1 Untitled 1 2 Fig. 5. A Darboux transform of the cylinder Udo Hertrich Jeromin and Franz Pedit 9. The Bianchi Backlund transform of constant mean curvature surfaces We may supply any surface f : M ....

.... sinh cosh u: 64) In fact, this transformation is obtained by applying two successive Backlund transforms to the surface of constant Gau curvature [1] which is parallel to the original surface of constant mean curvature and then, taking the (correct) parallel surface of constant mean curvature [12]. In this construction, the second Backlund transform has to be matched to the first one such that the resulting surface of constant Gau curvature is a real surface again. Fixing the scaling of the Christoffel transform f c of f such that H c = H = 1 2 , i.e. f c = f 2n, it is an ....

I. Sterling, H.C. Wente: Existence and Classifiation of Constant Mean Curvature Multibubbletons of Finite and Infinite Type; Indiana Univ. Math. J. 42 (1993) 1239-1266 This article was processed by the author using the L a T E X style file cljour1 from Springer-Verlag.

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