Ezov, Vladimir V

Schmalz, Gerd

2001

We present a survey on the effect of triviality of nil-isotropic automorphisms of real-analytic non-quadratic Levi non-degenerate CR manifolds. As a new result we prove that any isotropic automorphism of an elliptic CR-manifold in ℂ⁴ is uniquely determined by its first order derivatives at the origin and that the dimension of the corresponding Lie group does not exceed 6. Moreover, it is shown that apart from a very special family of exceptional manifolds any isotropic automorphism is determined by the restriction of its differential at the origin to the complex tangent space.

Bonner Mathematische Schriften (338), p. 1-69

0524-045X

https://hdl.handle.net/1959.11/4690

Universitaet Bonn, Mathematisches Institut

Triviality problem for nil-isotropic automorphisms of non-quadratic CR-manifolds

Journal Article

Publication