54 citations · 79 across the 15 of their papers we have counts for
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A Cauchy-Kowalevsky theorem for overdetermined systems of nonlinear partial differential equations and geometric applications
M. S. Baouendi, P. Ebenfelt, D. Zaitsev
We consider a Cauchy problem for an overdetermined system of PDEs, and give necessary and sufficient conditions for solvability of this Cauchy problem for all data. As an applicati…
Super-rigidity for CR embeddings of real hypersurfaces into hyperquadrics
M. S. Baouendi, P. Ebenfelt, X. Huang
Let $Q^N_l\subset \bC\bP^{N+1}$ denote the standard real, nondegenerate hyperquadric of signature and $M\subset \bC^{n+1}$ a real, Levi nondegenerate hypersurface of the same s…
Transversality of holomorphic mappings between real hypersurfaces in different dimensions
M. S. Baouendi, Peter Ebenfelt, Linda P. Rothschild
In this paper, we consider holomorphic mappings between real hypersurfaces in different dimensional complex spaces. We give a number of conditions that imply that such mappings are…
Projection on Segre varieties and determination of holomorphic mappings between real submanifolds
M. S. Baouendi, Peter Ebenfelt, Linda P. Rothschild
It is shown that a germ of a holomorphic mapping sending a real-analytic generic submanifold of finite type into another is determined by its projection on the Segre variety of the…
Deformation of generic submanifolds in a complex manifold
M. S. Baouendi, L. P. Rothschild, D. Zaitsev
This paper shows that an arbitrary generic submanifold in a complex manifold can be deformed into a 1-parameter family of generic submanifolds satisfying strong nondegeneracy condi…
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…