The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
We survey some recent results on holomorphic or formal mappings sending real submanifolds in complex space into each other. More specifically, the approximation and convergence properties of formal CR-mappings between real-analytic CR-submanifolds will be discussed, as well as the corresponding questions in the category of real-algebraic CR-submanifolds.
We give general sufficient conditions to guarantee that a given subgroup of the group of
diffeomorphisms of a smooth or real-analytic manifold has a compatible Lie group
structure. These results, together with recent work concerning jet parametrization and
complete systems for CR automorphisms, are then applied to determine when the global CR
automorphism group of a CR manifold is a Lie group in an appropriate topology.
Download Results (CSV)