1 citations · 2 across the 3 of their papers we have counts for
11 papers · 1 filter
Transversality of CR mappings
P. Ebenfelt, L. P. Rothschild
We prove here new results about transversality and related geometric properties of a holomorphic, formal, or CR mapping, sending one generic submanifold of $\bC^N$ into another. On…
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…
Rigidity of CR-immersions into spheres
Peter Ebenfelt, Xiaojun Huang, Dmitri Zaitsev
We consider local CR-immersions of a strictly pseudoconvex real hypersurface $M\subset\bC^{n+1}$, near a point , into the unit sphere $\mathbb S\subset\bC^{n+d+1}$ with $d>…
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…
On the analyticity of CR mappings between nonminimal hypersurfaces
Peter Ebenfelt
Let M be a connected real-analytic hypersurface in two dimensional complex space, , containing a connected complex hypersurface E, and let f be a smooth CR mapping sen…
Dynamics of the Segre varieties of a real submanifold in complex space
M. S. Baouendi, P. Ebenfelt, Linda Preiss Rothschild
Iterated Segre mappings of real analytic generic submanifolds in complex space have been an essential tool in the study of holomorphic, formal, and CR mappings between such manifol…