Parametrization of Local Cr Automorphisms by Finite Jets and Applications

  title={Parametrization of Local Cr Automorphisms by Finite Jets and Applications},
  author={BERNHARD LAMEL and Nordine Mir},
For any real-analytic hypersurface M ⊂ C containing no complex-analytic subvariety of positive dimension, we show that for every point p ∈ M the local real-analytic CR automorphisms of M fixing p can be parametrized real-analytically by their lp jets at p. As a direct application, we derive a Lie group structure for the topological group Aut(M, p). Furthermore, we also show that the order lp of the jet space in which the group Aut(M, p) embeds can be chosen to depend upper-semicontinuously on p… CONTINUE READING

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