Ezhov, Vladimir

Schmalz, Gerd

2007

We classify the ordinary differential equations that correspond to elliptic CR-manifolds with maximal isotropy. It follows that the dimension of the isotropy group of an elliptic CR-manifold can only be 10 (for the quadric), 4 (for the listed examples) or less. This is in contrast with the situation of hyperbolic CR-manifolds, where the dimension can be 10 (for the quadric), 6 or 5 (for semi-quadrics) or less than 4. We also prove that, for all elliptic CR-manifolds with non-linearizable isotropy group, except for two special manifolds, the points with non-linearizable isotropy form exactly some complex curve on the manifold.

Arkiv foer Matematik, 45(2), p. 253-268

0004-2080

https://hdl.handle.net/1959.11/2981

Springer Netherlands

Elliptic CR-manifolds and shear invariant ordinary differential equations with additional symmetries

Journal Article

Publication