Coverings and integrability of the Gauss-Mainardi-Codazzi equations
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
1998
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| _version_ | 1866914721233371136 |
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| author | Krasil'shchik, Joseph Marvan, Michal |
| author_facet | Krasil'shchik, Joseph Marvan, Michal |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_solv_int_9812010 |
| institution | arXiv |
| publishDate | 1998 |
| record_format | arxiv |
| spellingShingle | Coverings and integrability of the Gauss-Mainardi-Codazzi equations Krasil'shchik, Joseph Marvan, Michal Exactly Solvable and Integrable Systems 35Q53, 58F07, 53C42 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. |
| title | Coverings and integrability of the Gauss-Mainardi-Codazzi equations |
| topic | Exactly Solvable and Integrable Systems 35Q53, 58F07, 53C42 |
| url | https://arxiv.org/abs/solv-int/9812010 |