On infinitesimal deformations of cmc surfaces of finite type in the 3-sphere

Details On infinitesimal deformations of cmc surfaces of finite type in the 3-sphere On infinitesimal deformations of cmc surfaces of finite type in the 3-sphere

2009-10-12

arxiv.org/abs/0910.2096v1

Proceedings of the 16th OCU International Academic Symposium 2008

Mathematics

Differential Geometry

19 pages

Scientific paper

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 polynomial Killing fields and the corresponding
spectral curve to distinguish between isospectral and non-isospectral
deformations.

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