Abstract
We present here classes of parabolic geometries arising naturally from Se-ashi’s principle to form good classes of linear differential equations of finite type, which generalize the cases of second and third order ODE for scalar functions. We will explicitly describe the symbols of these differential equations. The model equations of these classes admit nonlinear contact transformations and their symmetry algebras become finite dimensional and simple.
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Yamaguchi, K., Yatsui, T. (2007). Parabolic Geometries Associated with Differential Equations of Finite Type. In: Maeda, Y., Ochiai, T., Michor, P., Yoshioka, A. (eds) From Geometry to Quantum Mechanics. Progress in Mathematics, vol 252. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4530-4_11
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DOI: https://doi.org/10.1007/978-0-8176-4530-4_11
Publisher Name: Birkhäuser Boston
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