Abstract
The global Weierstrass representation and its spectral properties are studied in detail for surfaces of revolution. It is also shown that the modified Korteweg–de Vries equations generate global integrable deformations of tori of revolution. The geometric meanings of first integrals of these evolutions are discussed.
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Taimanov, I.A. Surfaces of Revolution in Terms of Solitons. Annals of Global Analysis and Geometry 15, 419–435 (1997). https://doi.org/10.1023/A:1006596720792
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DOI: https://doi.org/10.1023/A:1006596720792