Abstract
Considering the kinematics of the moving frame associated with a constant mean curvature surface immersed in S 3 we derive a linear problem with the spectral parameter corresponding to elliptic sinh-Gordon equation. The spectral parameter is related to the radius R of the sphere S 3. The application of the Sym formula to this linear problem yields constant mean curvature surfaces in . Independently, we show that the Sym formula itself can be derived by an appropriate limiting process R → ∞.
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