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

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Date
2010
Authors
Kilian, Martin
Schmidt, Martin U.
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Publisher
Osaka Municipal Universities Press
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Abstract
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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Keywords
3-sphere , Baker-Akhiezer functions , Isospectral and non-isospectral deformations
Citation
Kilian, M. and Schmidt, M. U. (2010) 'On infinitesimal deformations of cmc surfaces of finite type in the 3-sphere', 16th Osaka City University International Academic Symposium 2008, "Riemann Surfaces, Harmonic Maps and Visualization", pp. 237-254.
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https://hdl.handle.net/10468/15092
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Mathematical Sciences - Conference Items
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© 2010, the Authors.