CMC hierarchy
| Autor: | Wang, Joe S. |
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| Rok vydání: | 2013 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We propose an extension of the differential system for constant mean curvature (CMC) surfaces in a three dimensional space form to an associated hierarchy of evolution equations by the higher-order commuting symmetries. The infinite sequence of higher-order conservation laws of CMC surfaces admit the corresponding extension to the conservation laws of the entire hierarchy. A class of generalized CMC surfaces are introduced as the phase space of the hierarchy. Via a canonical dressing transformation, we define a wave function for CMC hierarchy. This leads to a pair of additional non-local formal Killing fields and the associated spectral (Virasoro) Killing field. Comment: An expanded version of this paper will be posted as a series CMC hierarchy I, II |
| Databáze: | arXiv |
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