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

Francine Meylan (1) , Nordine Mir (2) , Dmitri Zaitsev (3)

1 Institut de Mathématiques
2 LMRS - Laboratoire de Mathématiques Raphaël Salem
3 TCD - School of Mathematics

We survey some recent results on holomorphic or formal mappings sending real submanifolds into each other in complex space.

Mots clés: CR manifolds; formal mappings; convergence; Artin's approximation theorem

Domaines: Variables complexes [math.CV]

Francine Meylan, Nordine Mir, Dmitri Zaitsev. On some rigidity properties of mappings between CR-submanifolds in complex space. Journées Equations aux Dérivées partielles, Forges-les-Eaux, 2003, Exposé XII. ⟨hal-00261700⟩