Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Special Conformal Groups of a Riemannian Manifold and Lie Point
  Symmetries of the Nonlinear Poisson Equation   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.

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The categories of this paper are: solv-int
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The categories of this paper are: eess
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat