Unique determination of local $CR$-maps by their jets: a survey

Zaitsev, Dmitri

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 13 (2002), p. 295-305 / Harvested from Biblioteca Digitale Italiana di Matematica

Résumé

We survey results on unique determination of local $CR$-automorphisms of smooth $CR$-manifolds and of local biholomorphisms of real-analytic $CR$-submanifolds of complex spaces by their jets of finite order at a given point. Examples generalizing [28] are given showing that the required jet order may be arbitrarily high.

Détail

Publié le : 2002-12-01

MR 1984108 | Zbl 1098.32018

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