Non-Abelian Infinite Algebra of Generalized Symmetries for the SDiff(2)Toda Equation
نویسنده
چکیده
This equation has been of interest in general relativity in various contexts, as well as some other fields of theoretical physics, for over twenty years. One derivation was given by one of us and Charles Boyer[1] in 1982, showing that it determines all self-dual, vacuum solutions of the Einstein field equations which admit a rotational Killing vector. (The description of that metric is given in Appendix A.) The equation is a partial differential equation (pde) for a single function of 3 independent variables, which may be written in the form
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تاریخ انتشار 2004