On infinitesimal deformations of cmc surfaces of finite type in the 3-sphere
classification
🧮 math.DG
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deformationsdescribefiniteinfinitesimalspheresurfacestypebaker-akhiezer
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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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