6 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…
Mappings between real submanifolds in complex space
Linda Preiss Rothschild
In this paper I survey some recent results on finite determination, convergence, and approximation of formal mappings between real submanifolds in complex spaces. A number of conje…
Reflection ideals and mappings between generic submanifolds in complex space
M. S. Baouendi, Nordine Mir, Linda Preiss Rothschild
In this paper, we study formal mappings between smooth generic submanifolds in multidimensional complex space and establish results on finite determination, convergence and local b…
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…
Convergence and finite determination of formal CR mappings
M. S. Baouendi, P. Ebenfelt, L. P. Rothschild
It is shown that a formal mapping between two real-analytic hypersurfaces in complex space is convergent provided that neither hypersurface contains a nontrivial holomorphic variet…
Rational dependence of smooth and analytic CR mappings on their jets
M. S. Baouendi, P. Ebenfelt, Linda Preiss Rothschild
We consider CR submersive mappings between generic submanifolds in complex space. We show that, under suitable conditions on the manifolds, there is an integer k such that any jet…