On some rigidity properties of mappings between CR-submanifolds in complex space

Meylan, Francine; Mir, Nordine; Zaitsev, Dimitri

Journées équations aux dérivées partielles (2003), article no. 12, 20 p.

We survey some recent results on holomorphic or formal mappings sending real submanifolds in complex space into each other. More specifically, the approximation and convergence properties of formal CR-mappings between real-analytic CR-submanifolds will be discussed, as well as the corresponding questions in the category of real-algebraic CR-submanifolds.

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