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Projection on Segre varieties and determination of holomorphic mappings between real submanifolds

M. S. Baouendi·Peter Ebenfelt·Linda P. Rothschild
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Abstract

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 target manifold. A necessary and sufficient condition is given for a germ of a mapping into the Segre variety of the target manifold to be the projection of a holomorphic mapping sending the source manifold into the target. An application to the biholomorphic equivalence problem is also given.

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M. S. Baouendi, Peter Ebenfelt, Linda P. Rothschild. 2006-09-25. Projection on Segre varieties and determination of holomorphic mappings between real submanifolds. https://doi.org/10.1007/s11425-006-2067-4

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