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- W2045847998 abstract "We obtain a complete group classification of the Lie point symmetries of nonlinear Poisson equations on generic (pseudo) Riemannian manifolds M. Using this result we study their Noether symmetries and establish the respective conservation laws. It is shown that the projection of the Lie point symmetries on M are special subgroups of the conformal group of M. In particular, if the scalar curvature of M vanishes, the projection on M of the Lie point symmetry group of the Poisson equation with critical nonlinearity is the conformal group of the manifold. We illustrate our results by applying them to the Thurston geometries." @default.
- W2045847998 created "2016-06-24" @default.
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- W2045847998 date "2010-08-01" @default.
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- W2045847998 title "Special conformal groups of a Riemannian manifold and Lie point symmetries of the nonlinear Poisson equation" @default.
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- W2045847998 doi "https://doi.org/10.1016/j.jde.2010.04.011" @default.
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