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math.DG2009★ 3 cited
On infinitesimal deformations of cmc surfaces of finite type in the 3-sphere
Martin Kilian, Martin U. Schmidt
We describe infinitesimal deformations of constant mean curvature surfaces of finite type in the 3-sphere. We use Baker-Akhiezer functions to describe such deformations, as well as…
math.DG2007★ 13 cited
On the moduli of constant mean curvature cylinders of finite type in the 3-sphere
M. Kilian, M. U. Schmidt
We show that one-sided Alexandrov embedded constant mean curvature cylinders of finite type in the 3-sphere are surfaces of revolution. This confirms a conjecture by Pinkall and St…