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arXiv · solv-int/9812010

Coverings and integrability of the Gauss-Mainardi-Codazzi equations

Joseph Krasil'shchik·Michal Marvan
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Abstract

Using covering theory approach (zero-curvature representations with the gauge group SL2), we insert the spectral parameter into the Gauss-Mainardi-Codazzi equations in Tchebycheff and geodesic coordinates. For each choice, four integrable systems are obtained.

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Joseph Krasil'shchik, Michal Marvan. 1998-12-09. Coverings and integrability of the Gauss-Mainardi-Codazzi equations. https://doi.org/10.1023/a%3A1006121716159

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