| Title |
|
Triviality problem for nil-isotropic automorphisms of non-quadratic CR-manifolds |
|
|
| Publication Date |
|
| Author(s) |
|
| Type of document |
|
| Language |
|
| Entity Type |
|
| Publisher |
|
Universitaet Bonn, Mathematisches Institut |
|
|
| Place of publication |
|
| UNE publication id |
|
| Abstract |
|
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. |
|
|
| Link |
|
| Citation |
|
Bonner Mathematische Schriften (338), p. 1-69 |
|
|
| ISSN |
|
| Start page |
|
| End page |
|