Effective Cartan-Tanaka connections for \(\mathcal C^6\)-smooth strongly pseudoconvex hypersurfaces \(M^3 \subset \mathbb C^2\)
The Cartan curvature for the Tanaka connection of \(3\)-dimensional pseudoconvex hypersurfaces in \(\mathbb{C}^2\) are explicitly computed in terms of the \(6\)-th order jet of a defining function. It is shown that the vanishing of the curvature corresponds to bi-holomorphic equivalence to the sphere.
scientific article; zbMATH DE number 5949150
scientific article