Poincaré automorphisms for nondegenerate CR quadrics.
Triviality of scalar linear type isotropy subgroup by passing to an alternative canonical form of a hypersurface
The Chern-Moser (CM) normal form of a real hypersurface in can be obtained by considering automorphisms whose derivative acts as the identity on the complex tangent space. However, the CM normal form is also invariant under a larger group (pseudo-unitary linear transformations) and it is this property that makes the CM normal form special. Without this additional restriction, various types of normal forms occur. One of them helps to give a simple proof of a (previously complicated) theorem about...
Holomorphic automorphisms of quadrics.
Special normal form of a hyperbolic CR-manifold in ℂ⁴
We give a special normal form for a non-semiquadratic hyperbolic CR-manifold M of codimension 2 in ℂ⁴, i.e., a construction of coordinates where the equation of M satisfies certain conditions. The coordinates are determined up to a linear coordinate change.
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