Finite W3 Transformations in a Multi-time Approach
J. Gomis, J. Herrero, K. Kamimura, J. Roca
Abstract
Classical 3 transformations are discussed as restricted diffeomorphism transformations (-Diff) in two-dimensional space. We formulate them by using Riemannian geometry as a basic ingredient. The extended 3 generators are given as particular combinations of Christoffel symbols. The defining equations of -Diff are shown to depend on these generators explicitly. We also consider the issues of finite transformations, global SL(3) transformations and -Schwarzians.
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