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5 papers
Finite jet determination of CR embeddings
Peter Ebenfelt, Bernhard Lamel
We prove finite jet determination results for smooth CR embeddings which are of constant degeneracy, using the method of complete systems. As an application, we derive a reflection…
Finite jet determination of local analytic CR automorphisms and their parametrization by 2-jets in the finite type case
P. Ebenfelt, B. Lamel, D. Zaitsev
We show that germs of local real-analytic CR automorphisms of a real-analytic hypersurface in $\C^2$ at a point are uniquely determined by their jets of some finite or…
A smooth regularity theorem for nondegenerate CR-mappings
Bernhard Lamel
We prove the following regularity result: If M and M' are smooth generic submanifolds of C^N and C^N' respectively, where N and N' are not necessarily equal, and if M is minimal, t…
Holomorphic maps of real submanifolds in complex spaces of different dimensions
Bernhard Lamel
We define a new local invariant (called degeneracy) associated to a triple (M,M',H), where M and M' are real submanifolds of C^N and C^N', respectively, and H: M->M' is either a ho…
A reflection principle for real-analytic submanifolds of complex spaces
Bernhard Lamel
We give an invariant nondegeneracy condition for CR--maps between generic submanifolds in different dimensions and use it to prove a reflection principle for these maps.